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

Time bar (total: 6.0s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample619.0ms (10.3%)

Memory
32.5MiB live, 808.7MiB allocated
Samples
304.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-div: 70.0ms (52.9% of total)
ival-sub: 47.0ms (35.5% of total)
exact: 7.0ms (5.3% of total)
ival-true: 5.0ms (3.8% of total)
ival-assert: 3.0ms (2.3% of total)
Bogosity

preprocess14.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB allocated
Algorithm
2×egg-herbie
Rules
26×sub-neg
24×distribute-lft-neg-in
16×cancel-sign-sub-inv
12×associate-+l-
12×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
12012
2429
3689
41079
51249
61329
71389
81439
91459
063
1113
2123
0123
Stop Event
1×iter limit
1×saturated
1×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)

explain55.0ms (0.9%)

Memory
-6.7MiB live, 113.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
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-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52.4% of total)
ival-sub: 2.0ms (26.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify8.0ms (0.1%)

Memory
-29.3MiB live, 8.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
4×+-lowering-+.f64
4×+-lowering-+.f32
2×1-exp
2×--lowering--.f32
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2127
0127
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ 1 3))
x
(/ 1 3)
1
3
Outputs
(- x (/ 1 3))
(+.f64 x #s(literal -1/3 binary64))
x
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)

localize18.0ms (0.3%)

Memory
2.0MiB live, 38.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.6% of total)
ival-sub: 1.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/ 1 3)>
#<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
@-inf
(- x (/ 1 3))
0.0ms
x
@0
(- x (/ 1 3))

rewrite1.0s (17.2%)

Memory
35.3MiB live, 677.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 912×accelerator-lowering-fma.f32
6 912×accelerator-lowering-fma.f64
4 474×*-lowering-*.f32
4 474×*-lowering-*.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1254
21274
39734
085204
Stop Event
1×iter limit
1×node limit
Counts
2 → 313
Calls
Call 1
Inputs
(/ 1 3)
(- x (/ 1 3))
Outputs
#s(literal 1/3 binary64)
(+.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 (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (*.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 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.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 #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)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.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)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.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)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.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) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.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 (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)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.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)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.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)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.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 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

simplify28.0ms (0.5%)

Memory
-10.3MiB live, 68.7MiB allocated
Algorithm
1×egg-herbie
Rules
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×iter limit
1×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))

eval39.0ms (0.6%)

Memory
-12.7MiB live, 101.1MiB allocated
Compiler

Compiled 10 454 to 758 computations (92.7% saved)

prune45.0ms (0.7%)

Memory
7.6MiB live, 100.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3214325
Fresh000
Picked101
Done000
Total3224326
Accuracy
100.0%
Counts
326 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.4%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶100.0%
(-.f64 x #s(literal 1/3 binary64))
▶56.8%
x
▶43.9%
#s(literal -1/3 binary64)
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify8.0ms (0.1%)

Memory
-26.9MiB live, 11.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Rules
36×+-lowering-+.f64
36×+-lowering-+.f32
26×accelerator-lowering-fma.f32
26×accelerator-lowering-fma.f64
16×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12642
23642
34242
04240
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
-1/3
x
(- x 1/3)
x
1/3
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
(+ (* x (* x x)) -1/27)
x
(* x x)
-1/27
(+ (* x (+ 1/3 x)) 1/9)
(+ 1/3 x)
1/3
1/9
Outputs
-1/3
#s(literal -1/3 binary64)
x
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
1/3
#s(literal 1/3 binary64)
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(+ (* x (* x x)) -1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(* x x)
(*.f64 x x)
-1/27
#s(literal -1/27 binary64)
(+ (* x (+ 1/3 x)) 1/9)
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
1/9
#s(literal 1/9 binary64)

localize51.0ms (0.9%)

Memory
23.4MiB live, 102.4MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓accuracy68.4%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
Samples
38.0ms256×0valid
Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 14.0ms (55.2% of total)
ival-mult: 5.0ms (19.7% of total)
ival-add: 3.0ms (11.8% of total)
ival-div: 2.0ms (7.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (- x 1/3)>
#<alt (/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))>
#<alt (+ (* x (* x x)) -1/27)>
#<alt (* x x)>
#<alt (+ (* x (+ 1/3 x)) 1/9)>
#<alt (+ 1/3 x)>
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 -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 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 1/9>
#<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>
#<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

18 calls:

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

rewrite866.0ms (14.4%)

Memory
-34.8MiB live, 514.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 844×accelerator-lowering-fma.f32
4 844×accelerator-lowering-fma.f64
4 594×*-lowering-*.f32
4 594×*-lowering-*.f64
3 910×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
18024
261324
3760624
0807423
Stop Event
1×iter limit
1×node limit
Counts
6 → 860
Calls
Call 1
Inputs
(- x 1/3)
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
(+ (* x (* x x)) -1/27)
(* x x)
(+ (* x (+ 1/3 x)) 1/9)
(+ 1/3 x)
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (neg.f64 (-.f64 #s(literal 0 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 (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 -1/9 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (*.f64 x (/.f64 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 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.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 -1/9 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
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(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.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 1/9 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.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 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.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 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.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))))) #s(literal 1/729 binary64)))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 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 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.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 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 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 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/19683 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (/.f64 (fma.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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/19683 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))

simplify329.0ms (5.5%)

Memory
19.4MiB live, 290.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 890×accelerator-lowering-fma.f32
4 890×accelerator-lowering-fma.f64
2 784×*-lowering-*.f32
2 784×*-lowering-*.f64
1 584×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040250
1109250
2283242
3833242
42363242
55479242
08113235
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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)))
-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 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)
1/9
(+ 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
(+ 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)
(- 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))
-1/3
#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)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (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)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (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)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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))

eval137.0ms (2.3%)

Memory
11.1MiB live, 237.6MiB allocated
Compiler

Compiled 30 152 to 1 633 computations (94.6% saved)

prune83.0ms (1.4%)

Memory
-5.2MiB live, 161.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New9311932
Fresh000
Picked134
Done000
Total9324936
Accuracy
100.0%
Counts
936 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.2%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓56.8%
x
✓43.9%
#s(literal -1/3 binary64)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify7.0ms (0.1%)

Memory
-29.4MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓cost-diff0
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Rules
28×+-lowering-+.f64
28×+-lowering-+.f32
22×accelerator-lowering-fma.f32
22×accelerator-lowering-fma.f64
12×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
11623
22523
33123
03121
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
-1/27
(+ (* x (+ 1/3 x)) 1/9)
x
(+ 1/3 x)
1/3
1/9
Outputs
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
-1/27
#s(literal -1/27 binary64)
(+ (* x (+ 1/3 x)) 1/9)
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
1/9
#s(literal 1/9 binary64)

localize35.0ms (0.6%)

Memory
22.4MiB live, 62.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓accuracy99.8%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Samples
27.0ms256×0valid
Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 9.0ms (46.3% of total)
ival-div: 7.0ms (36% of total)
ival-add: 2.0ms (10.3% of total)
ival-mult: 2.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ -1/27 (+ (* x (+ 1/3 x)) 1/9))>
#<alt (+ (* x (+ 1/3 x)) 1/9)>
#<alt (+ 1/3 x)>
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>
#<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

9 calls:

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

rewrite503.0ms (8.4%)

Memory
8.3MiB live, 725.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 668×accelerator-lowering-fma.f32
4 668×accelerator-lowering-fma.f64
4 178×*-lowering-*.f32
4 178×*-lowering-*.f64
3 088×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
15019
236419
3399319
0824417
Stop Event
1×iter limit
1×node limit
Counts
3 → 273
Calls
Call 1
Inputs
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
(+ (* x (+ 1/3 x)) 1/9)
(+ 1/3 x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.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) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.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) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(fma.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal -1/531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/729 binary64))))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.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)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))
(-.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))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.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 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.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 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (fma.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 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.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 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 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 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.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) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

simplify491.0ms (8.1%)

Memory
-18.5MiB live, 609.2MiB allocated
Algorithm
1×egg-herbie
Rules
16 212×accelerator-lowering-fma.f32
16 212×accelerator-lowering-fma.f64
2 898×*-lowering-*.f32
2 898×*-lowering-*.f64
2 636×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072232
1186228
2456220
31268220
43722220
57834220
08495210
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
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
(+ 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)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 x (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 1 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 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (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))
(/ -1/27 (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 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.f64 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))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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))

eval40.0ms (0.7%)

Memory
27.7MiB live, 108.6MiB allocated
Compiler

Compiled 8 985 to 966 computations (89.2% saved)

prune34.0ms (0.6%)

Memory
9.0MiB live, 85.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3081309
Fresh000
Picked101
Done033
Total3094313
Accuracy
100.0%
Counts
313 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.3%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓56.8%
x
✓43.9%
#s(literal -1/3 binary64)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify5.0ms (0.1%)

Memory
-28.8MiB live, 9.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
1916
0914
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ -1/27 (+ (* x 1/3) 1/9))
-1/27
(+ (* x 1/3) 1/9)
x
1/3
1/9
Outputs
(/ -1/27 (+ (* x 1/3) 1/9))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
-1/27
#s(literal -1/27 binary64)
(+ (* x 1/3) 1/9)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
x
1/3
#s(literal 1/3 binary64)
1/9
#s(literal 1/9 binary64)

localize30.0ms (0.5%)

Memory
19.3MiB live, 62.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
✓accuracy99.7%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
Samples
22.0ms256×0valid
Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 11.0ms (69.9% of total)
ival-div: 2.0ms (12.7% of total)
ival-mult: 2.0ms (12.7% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/ -1/27 (+ (* x 1/3) 1/9))>
#<alt (+ (* x 1/3) 1/9)>
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))))>
Calls

6 calls:

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

rewrite448.0ms (7.4%)

Memory
-38.4MiB live, 611.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 602×/-lowering-/.f32
5 602×/-lowering-/.f64
5 498×accelerator-lowering-fma.f32
5 498×accelerator-lowering-fma.f64
4 128×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
13312
220312
3172112
0852310
Stop Event
1×iter limit
1×node limit
Counts
2 → 388
Calls
Call 1
Inputs
(/ -1/27 (+ (* x 1/3) 1/9))
(+ (* x 1/3) 1/9)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))) (*.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64)))) (*.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (fma.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x) #s(literal -1/729 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -27 binary64))
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(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 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)))))

simplify549.0ms (9.1%)

Memory
31.9MiB live, 580.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 788×accelerator-lowering-fma.f32
12 788×accelerator-lowering-fma.f64
2 168×+-lowering-+.f64
2 168×+-lowering-+.f32
2 164×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066162
1189154
2405154
3977150
42313150
54335150
65490150
76267150
86713150
96826150
106861150
117315150
127404150
137432150
147442150
157442150
08014136
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
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))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -3 x))) 1/3)
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 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))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))

eval84.0ms (1.4%)

Memory
-16.2MiB live, 136.9MiB allocated
Compiler

Compiled 13 037 to 1 353 computations (89.6% saved)

prune72.0ms (1.2%)

Memory
-1.4MiB live, 99.3MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4120412
Fresh000
Picked011
Done033
Total4124416
Accuracy
100.0%
Counts
416 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.3%
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓100.0%
(-.f64 x #s(literal 1/3 binary64))
✓56.8%
x
✓43.9%
#s(literal -1/3 binary64)
Compiler

Compiled 53 to 30 computations (43.4% saved)

regimes6.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
7 → 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) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)

regimes3.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
x
Outputs
x
#s(literal -1/3 binary64)
x
Calls

2 calls:

2.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
96.9%3x
96.9%3(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.3%)

Memory
-32.8MiB live, 6.6MiB allocated
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

2 calls:

16.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
43.9%1x
43.9%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-0.33298460053691703
282.3988206033305
0.0ms
-28826.193076309402
-0.33396576144264895
Compiler

Compiled 9 to 9 computations (0% saved)

simplify9.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
1×egg-herbie
Rules
22×unsub-neg_binary64
22×neg-mul-1_binary64
12×+-commutative_binary64
12×sub-neg_binary64
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
12423
23523
34323
45123
56723
69123
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -20000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)
Outputs
(-.f64 x #s(literal 1/3 binary64))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -20000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
(if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -20000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)

soundness320.0ms (5.3%)

Memory
12.6MiB live, 168.8MiB allocated
Rules
6 912×accelerator-lowering-fma.f32
6 912×accelerator-lowering-fma.f64
4 474×*-lowering-*.f32
4 474×*-lowering-*.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
1254
21274
39734
085204
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess26.0ms (0.4%)

Memory
4.1MiB live, 81.4MiB allocated
Compiler

Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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