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

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample873.0ms (21%)

Memory
56.8MiB live, 994.9MiB allocated
Samples
626.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 357.0ms
ival-div: 298.0ms (83.4% of total)
ival-add: 43.0ms (12% of total)
exact: 8.0ms (2.2% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain102.0ms (2.5%)

Memory
-4.3MiB live, 222.5MiB 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
51.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 22.0ms (80.6% of total)
ival-div: 4.0ms (14.7% of total)
exact: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess35.0ms (0.9%)

Memory
-10.4MiB live, 34.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1157
2177
053
083
1113
0113
Stop Event
iter limit
saturated
iter limit
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
5.5MiB live, 5.5MiB allocated
Algorithm
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
iter limit
saturated
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)

localize13.0ms (0.3%)

Memory
25.4MiB live, 25.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.0078125
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.4% of total)
ival-add: 1.0ms (26.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.5MiB live, 2.5MiB 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)))

simplify31.0ms (0.7%)

Memory
-21.1MiB live, 26.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1268
2588
31518
42168
52658
63228
73488
83648
03648
Stop Event
iter limit
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))

rewrite358.0ms (8.6%)

Memory
-15.8MiB live, 247.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1264
21184
38734
087344
Stop Event
iter limit
node limit
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))))
(/.f64 (*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (*.f64 (-.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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))))))
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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)

eval41.0ms (1%)

Memory
3.4MiB live, 47.5MiB allocated
Compiler

Compiled 5 381 to 531 computations (90.1% saved)

prune3.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1704174
Fresh000
Picked101
Done000
Total1714175
Accuracy
100.0%
Counts
175 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
64.5%
(/.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))))
100.0%
(+.f64 x #s(literal 1/3 binary64))
53.0%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 40 to 26 computations (35% saved)

simplify113.0ms (2.7%)

Memory
-30.2MiB live, 60.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 x x)
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
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff2
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.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 x #s(literal 1/3 binary64))
cost-diff0
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
023101
14481
211077
325777
4149777
5437777
0861575
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(+.f64 x #s(literal 1/3 binary64))
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 (-.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)
(/.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
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
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 (-.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 (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))
(*.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)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize76.0ms (1.8%)

Memory
-2.3MiB live, 52.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x #s(literal 1/3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy12.156904367543381
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy0.0078125
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy0.0625
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy0.0703125
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
accuracy22.120907496109997
(/.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))))
accuracy0.0078125
(+.f64 x #s(literal 1/3 binary64))
accuracy30.100238847544198
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Samples
31.0ms256×0valid
Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
const: 6.0ms (28.5% of total)
ival-div: 5.0ms (23.8% of total)
ival-mult: 5.0ms (23.8% of total)
ival-sub: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
9 → 29
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #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 (-.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)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 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)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/3
(- x 1/3)
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 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 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 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -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)))
Calls

3 calls:

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

simplify656.0ms (15.8%)

Memory
-3.2MiB live, 274.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084204
1228200
2636197
32513186
47818186
09284177
Stop Event
iter limit
node limit
Counts
29 → 28
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)))
-1/9
(- (pow x 2) 1/9)
(pow x 2)
-1/3
(- x 1/3)
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 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 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 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -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)))
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))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 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 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 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 (-.f64 x #s(literal 1/3 binary64)) x) x)
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) x)
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -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 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) 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 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)))

rewrite237.0ms (5.7%)

Memory
6.2MiB live, 336.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
02341
18241
255341
3713441
0825241
Stop Event
iter limit
node limit
iter limit
Counts
9 → 1 126
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #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 (-.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)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
Outputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.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 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 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 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #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 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (neg.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 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))))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.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 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.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))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #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 x (fma.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 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (fma.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal 1 binary64))
(/.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 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))

eval139.0ms (3.3%)

Memory
5.6MiB live, 330.6MiB allocated
Compiler

Compiled 35 216 to 2 737 computations (92.2% saved)

prune23.0ms (0.6%)

Memory
50.6MiB live, 94.3MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 13321 135
Fresh000
Picked224
Done000
Total1 13541 139
Accuracy
100.0%
Counts
1 139 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
53.2%
(/.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))))
100.0%
(+.f64 x #s(literal 1/3 binary64))
53.0%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify151.0ms (3.7%)

Memory
-36.9MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01794
02594
13794
27394
312994
417990
525590
650590
7112190
8193490
9256390
10320590
11347290
12359890
13369090
14376690
15382890
16382890
17382890
0382890
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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)
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
(/.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)
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize73.0ms (1.8%)

Memory
-3.1MiB live, 89.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x #s(literal 1/3 binary64))
accuracy0.0
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy0.00390625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy12.156904367543381
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
accuracy0.0078125
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
accuracy0.0625
(*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy22.120907496109997
(/.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))))
accuracy29.720489209041613
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
Samples
64.0ms256×0valid
Compiler

Compiled 83 to 15 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
const: 40.0ms (74% of total)
ival-mult: 6.0ms (11.1% of total)
ival-sub: 3.0ms (5.6% of total)
ival-div: 3.0ms (5.6% of total)
ival-add: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
8 → 29
Calls
Call 1
Inputs
(/.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 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
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)))
-1/9
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 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
((/ (* (- (* 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) (/ (- (* x x) 1/9) (- x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (- x 1/3))
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)) (- (* x x) 1/9) (/ (- (* x x) 1/9) (- x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (- x 1/3))
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)) (- (* x x) 1/9) (/ (- (* x x) 1/9) (- x 1/3)) (- (* x x) 1/9) (+ (* x x) -1/9) (- x 1/3))

simplify185.0ms (4.5%)

Memory
25.1MiB live, 207.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084204
1228200
2636197
32509186
47747186
09213177
Stop Event
iter limit
node limit
Counts
29 → 28
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)))
-1/9
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
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)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 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))
1/81
#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))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* 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 x #s(literal 1/3 binary64)) x) x)
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) x)
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -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 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) 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 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) 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)))

rewrite148.0ms (3.6%)

Memory
-0.3MiB live, 184.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01781
02573
18173
247773
3523171
0855471
Stop Event
iter limit
node limit
iter limit
Counts
8 → 405
Calls
Call 1
Inputs
(/.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 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.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 #s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
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(fma.f64 x x #s(literal -1/9 binary64))
(fma.f64 x x #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (-.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(-.f64 #s(literal -1/9 binary64) (*.f64 x x))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal -1/9 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(+.f64 (*.f64 x x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 4 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)))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.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))) (fma.f64 x (/.f64 x (+.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.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))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.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 2 binary64)) (*.f64 (*.f64 x (/.f64 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)))) (fma.f64 x x (fma.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 x x (fma.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 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (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 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64) #s(literal 1/6561 binary64)) (pow.f64 x #s(literal 8 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 12 binary64)) #s(literal 1/531441 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/387420489 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal -1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 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 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 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.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 (-.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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #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 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 #s(literal -1/3 binary64) x))
(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 #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 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.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)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #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) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 (*.f64 x (/.f64 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))

eval67.0ms (1.6%)

Memory
-3.2MiB live, 139.7MiB allocated
Compiler

Compiled 17 703 to 1 506 computations (91.5% saved)

prune6.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4691470
Fresh000
Picked112
Done022
Total4704474
Accuracy
100.0%
Counts
474 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
52.6%
(/.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))))
100.0%
(+.f64 x #s(literal 1/3 binary64))
53.0%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 52 to 35 computations (32.7% saved)

simplify113.0ms (2.7%)

Memory
5.4MiB live, 51.0MiB allocated
Algorithm
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
iter limit
saturated
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)

localize103.0ms (2.5%)

Memory
-2.4MiB live, 137.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
accuracy22.120907496109997
(/.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))))
accuracy29.720489209041613
#s(approx (* (- (* x x) 1/9) (- (* x x) 1/9)) #s(literal 1/81 binary64))
accuracy30.660659742702947
#s(approx (* (- (* x x) 1/9) (- x 1/3)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
Samples
96.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
const: 26.0ms (53% of total)
ival-mult: 16.0ms (32.6% of total)
ival-sub: 3.0ms (6.1% of total)
ival-div: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB 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))

simplify161.0ms (3.9%)

Memory
-26.7MiB live, 271.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081190
1220186
2625183
32531174
08175168
Stop Event
iter limit
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))

rewrite169.0ms (4.1%)

Memory
-24.3MiB live, 163.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
01851
17251
247251
3490251
0861149
Stop Event
iter limit
node limit
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))

eval22.0ms (0.5%)

Memory
31.5MiB live, 31.5MiB allocated
Compiler

Compiled 3 044 to 372 computations (87.8% saved)

prune4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB 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
81.0%
(/.f64 #s(approx (- (* x x) 1/9) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
52.6%
(/.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))))
100.0%
(+.f64 x #s(literal 1/3 binary64))
53.0%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 162 to 73 computations (54.9% saved)

regimes15.0ms (0.4%)

Memory
-32.1MiB live, 10.8MiB allocated
Counts
8 → 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) (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 x #s(literal 1/3 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 (*.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:

12.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
100.0%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.8MiB live, 5.7MiB 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
x
1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
53.0%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
53.0%1x
Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1118
Stop Event
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))

soundness186.0ms (4.5%)

Memory
-49.8MiB live, 122.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 19 to 17 computations (10.5% saved)

preprocess15.0ms (0.4%)

Memory
27.1MiB live, 27.1MiB allocated
Compiler

Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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