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

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample852.0ms (24.3%)

Memory
11.4MiB live, 798.3MiB allocated
Samples
640.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-div: 87.0ms (53.2% of total)
ival-add: 60.0ms (36.7% of total)
exact: 8.0ms (4.9% of total)
ival-true: 6.0ms (3.7% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain66.0ms (1.9%)

Memory
3.8MiB live, 77.1MiB 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 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(+.f64 x (/.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
18.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.9% of total)
ival-add: 2.0ms (26% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.4%)

Memory
-13.5MiB live, 24.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1157
2177
053
083
1113
0113
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB 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-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1117
0117
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 #s(literal 1/3 binary64) x)
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize21.0ms (0.6%)

Memory
-28.4MiB live, 31.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.01171875
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.7% of total)
ival-add: 1.0ms (27.4% 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
1.2MiB live, 1.2MiB allocated
Counts
2 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
1/3
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
Calls

3 calls:

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

simplify10.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1268
2588
31518
42168
52658
63228
73488
83648
03648
Stop Event
1×iter limit
1×saturated
Counts
4 → 3
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
Outputs
1/3
#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))

rewrite142.0ms (4.1%)

Memory
-10.7MiB live, 180.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1264
21184
38734
087344
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
#s(literal 1/3 binary64)
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.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)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.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 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (+.f64 x #s(literal 1/3 binary64)))
(/.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 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #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) (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 x (fma.f64 x (-.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 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.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)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.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 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 x (-.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 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.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)) (*.f64 x x)) (pow.f64 x #s(literal 4 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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #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 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) x) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.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)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.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)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/19683 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fma.f64 x x (fma.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 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)

eval20.0ms (0.6%)

Memory
5.9MiB live, 42.7MiB allocated
Compiler

Compiled 5 381 to 531 computations (90.1% saved)

prune5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1695174
Fresh000
Picked101
Done000
Total1705175
Accuracy
100.0%
Counts
175 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.7%
(/.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)))
▶58.6%
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶71.5%
(-.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)))
▶100.0%
(+.f64 x #s(literal 1/3 binary64))
▶49.3%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 130 to 74 computations (43.1% saved)

simplify90.0ms (2.6%)

Memory
6.6MiB live, 122.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff10
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff0
(-.f64 #s(literal 1/3 binary64) x)
cost-diff0
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff4
(-.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)))
cost-diff8
(/.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)))
cost-diff0
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
cost-diff0
(-.f64 #s(literal 1/3 binary64) x)
cost-diff0
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff4
(-.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)))
cost-diff0
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff0
(+.f64 x #s(literal 1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024162
039154
175140
2245138
31060130
44361130
08273125
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 x x)
(/.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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
x
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 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 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) x)) x)
(*.f64 x x)
(/.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 #s(literal 1/9 binary64) (*.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 #s(literal 1/3 binary64) x) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.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 1/3 binary64) x) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 x x #s(literal -1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize83.0ms (2.4%)

Memory
-13.9MiB live, 145.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 x #s(literal 1/3 binary64))
accuracy0.04296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy0.046875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy25.666203825619515
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy0.029628759768442016
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
accuracy0.11328125
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
accuracy0.171875
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy23.912298156839917
(/.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)))
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(-.f64 #s(literal 1/3 binary64) x)
accuracy0.1875
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy18.333171461036024
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy32.44829986929663
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy0.01171875
(+.f64 x #s(literal 1/3 binary64))
Samples
57.0ms256×0valid
Compiler

Compiled 328 to 49 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 15.0ms (34.9% of total)
ival-div: 9.0ms (20.9% of total)
const: 7.0ms (16.3% of total)
ival-add: 6.0ms (14% of total)
ival-sub: 5.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
12.3MiB live, 12.4MiB allocated
Counts
17 → 64
Calls
Call 1
Inputs
(+.f64 x #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(/.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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 x 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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
Outputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
-1/9
(- (pow x 2) 1/9)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(pow x 2)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
1/9
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* x x) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (* (- (* x x) 1/9) (- x 1/3)) (- x 1/3))
3.0ms
x
@-inf
((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* x x) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (* (- (* x x) 1/9) (- x 1/3)) (- x 1/3))
3.0ms
x
@0
((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (/ (* (- (* x x) 1/9) (- (* x x) 1/9)) (* (- (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9) (* (- (* x x) 1/9) (- (* x x) 1/9)) (* x x) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (* (- (* x x) 1/9) (- x 1/3)) (- x 1/3))

simplify149.0ms (4.3%)

Memory
6.0MiB live, 159.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186540
1604522
21920499
35892492
08196468
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
-1/9
(- (pow x 2) 1/9)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(pow x 2)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
1/9
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal 27 binary64)) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(fma.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 #s(literal -2/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
(pow x 2)
(*.f64 x x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -2/3 x))
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 2/3)))
(fma.f64 (-.f64 x #s(literal 2/3 binary64)) x #s(literal 1/9 binary64))
-1/3
#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))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) x x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal -2/3 binary64) x) x x) x)
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x) x)
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) x (-.f64 #s(literal -1/3 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x)
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x) x)
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))

rewrite196.0ms (5.6%)

Memory
-1.4MiB live, 276.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024141
03989
115385
2124785
0835285
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 509
Calls
Call 1
Inputs
(+.f64 x #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(/.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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 x 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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.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 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64))))
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(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) (neg.f64 x)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) x) (neg.f64 x)) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (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 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (*.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (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 (pow.f64 x #s(literal 3 binary64)) (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 (/.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 #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 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (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 (pow.f64 x #s(literal 3 binary64)) (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 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x 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)) (*.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 x #s(literal 1/3 binary64))

eval177.0ms (5%)

Memory
24.3MiB live, 248.2MiB allocated
Compiler

Compiled 38 021 to 3 524 computations (90.7% saved)

prune47.0ms (1.4%)

Memory
-1.3MiB live, 93.0MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 23421 236
Fresh000
Picked325
Done000
Total1 23741 241
Accuracy
100.0%
Counts
1 241 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.7%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶48.8%
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓100.0%
(+.f64 x #s(literal 1/3 binary64))
✓49.3%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 55 to 40 computations (27.3% saved)

simplify157.0ms (4.5%)

Memory
4.9MiB live, 79.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
cost-diff0
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
cost-diff0
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff0
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
cost-diff0
(-.f64 #s(literal 1/3 binary64) x)
cost-diff0
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff0
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024129
036129
154129
2108129
3237129
4460129
5838129
61305129
71894129
82458129
93072129
103540129
113753129
123882129
133974129
144050129
154102129
164102129
174108129
04108125
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
#s(literal 1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize83.0ms (2.4%)

Memory
-27.1MiB live, 124.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 x #s(literal 1/3 binary64))
accuracy0.04296875
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy25.666203825619515
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy31.892367544576384
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy0.0625
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
accuracy0.1171875
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
accuracy0.1875
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy32.90555286421567
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
Samples
50.0ms236×0valid
13.0ms10×1valid
4.0ms10×2valid
Compiler

Compiled 241 to 48 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 20.0ms (36.7% of total)
ival-div: 12.0ms (22% of total)
const: 9.0ms (16.5% of total)
adjust: 6.0ms (11% of total)
ival-sub: 5.0ms (9.2% of total)
ival-add: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
11 → 56
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(-.f64 x #s(literal 1/3 binary64))
Outputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
-1/9
(- (pow x 2) 1/9)
(* 3 x)
(* x (+ 3 (* 9 x)))
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Calls

3 calls:

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

simplify148.0ms (4.2%)

Memory
0.8MiB live, 160.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166472
1548457
21786432
36584421
08582401
Stop Event
1×iter limit
1×node limit
Counts
56 → 55
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
-1/9
(- (pow x 2) 1/9)
(* 3 x)
(* x (+ 3 (* 9 x)))
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal 27 binary64)) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 #s(literal -2/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(fma.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 9 x)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
-1/3
#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))
(/ -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 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x)
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) (*.f64 x x))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) x) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal -1/9 binary64)) x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(-.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))

rewrite202.0ms (5.8%)

Memory
28.0MiB live, 182.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024113
036105
1123105
2812105
08429105
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 500
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(-.f64 x #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))) (*.f64 (/.f64 (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (/.f64 (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.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 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (/.f64 (pow.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))))))
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(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 x (-.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.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)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.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 -1/3 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 (pow.f64 x #s(literal 3 binary64)) (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 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (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 (pow.f64 x #s(literal 3 binary64)) (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 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (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 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/387420489 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 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) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (neg.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) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (+.f64 #s(literal -1/3 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 x #s(literal 1/3 binary64))

eval281.0ms (8%)

Memory
-185.1MiB live, 121.4MiB allocated
Compiler

Compiled 23 178 to 2 162 computations (90.7% saved)

prune35.0ms (1%)

Memory
-12.0MiB live, 24.4MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5471548
Fresh000
Picked112
Done022
Total5484552
Accuracy
100.0%
Counts
552 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.2%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
✓48.8%
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓100.0%
(+.f64 x #s(literal 1/3 binary64))
✓49.3%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify134.0ms (3.8%)

Memory
-11.8MiB live, 67.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
cost-diff0
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
cost-diff0
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
cost-diff0
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01563
01863
12963
26263
311863
416863
523463
646163
7100263
8170263
9233363
10296363
11322663
12335563
13344763
14352363
15358563
16358563
17358563
0358559
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
#s(literal -1/9 binary64)
x
#s(literal 1/27 binary64)
Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(literal 1/81 binary64)
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
#s(literal -1/9 binary64)
x
#s(literal 1/27 binary64)

localize49.0ms (1.4%)

Memory
23.9MiB live, 91.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
accuracy25.666203825619515
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
accuracy31.892367544576384
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy32.903785156284
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 115 to 31 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 18.0ms (59.6% of total)
ival-mult: 7.0ms (23.2% of total)
ival-sub: 2.0ms (6.6% of total)
ival-div: 1.0ms (3.3% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
Outputs
1/3
(+ 1/3 x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
Calls

3 calls:

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

simplify138.0ms (4%)

Memory
-0.8MiB live, 169.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081190
1220186
2625183
32531174
08175168
Stop Event
1×iter limit
1×node limit
Counts
24 → 23
Calls
Call 1
Inputs
1/3
(+ 1/3 x)
1/81
(+ 1/81 (* -2/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* -2/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (- (pow x 2) 2/9)))
(fma.f64 (-.f64 (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(fma.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1/81 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (-.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) (*.f64 x x))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x) x) x)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(*.f64 (-.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))

rewrite182.0ms (5.2%)

Memory
-14.3MiB live, 144.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
01851
17251
247251
3490251
0861149
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 53
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
Outputs
(/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) (neg.f64 #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
(neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))))
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (-.f64 (*.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/81 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/531441 binary64)) (*.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (*.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/59049 binary64) (*.f64 x x) #s(literal 1/531441 binary64))) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (fma.f64 #s(literal -1/387420489 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1/7625597484987 binary64)) (*.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/387420489 binary64) (*.f64 #s(literal -1/14348907 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))
(/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64))) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (-.f64 (*.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))) (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (*.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/729 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/729 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/9 binary64) x) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal -1/9 binary64) #s(literal 1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))
(-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))

eval11.0ms (0.3%)

Memory
-8.0MiB live, 28.6MiB allocated
Compiler

Compiled 3 044 to 372 computations (87.8% saved)

prune4.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done033
Total72476
Accuracy
100.0%
Counts
76 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.2%
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
✓48.8%
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓100.0%
(+.f64 x #s(literal 1/3 binary64))
✓49.3%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 203 to 92 computations (54.7% saved)

regimes33.0ms (0.9%)

Memory
-34.1MiB live, 17.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) #s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) 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 #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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
Outputs
(+.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

10.0ms
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 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
49.3%1x
49.3%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.3%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1118
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Outputs
(+.f64 x #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

soundness121.0ms (3.5%)

Memory
12.8MiB live, 49.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1268
2588
31518
42168
52658
63228
73488
83648
03648
054
084
1264
21184
38734
087344
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 19 to 17 computations (10.5% saved)

preprocess15.0ms (0.4%)

Memory
16.9MiB live, 16.9MiB allocated
Compiler

Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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