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

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.3s (27.2%)

Memory
-4.6MiB live, 666.2MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-div: 397.0ms (81% of total)
ival-sub: 76.0ms (15.5% of total)
exact: 8.0ms (1.6% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain74.0ms (1.5%)

Memory
22.6MiB live, 105.5MiB 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 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 53 to 34 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.7% of total)
ival-sub: 2.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
-19.8MiB live, 17.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2396
3636
4966
51046
61066
053
083
1133
2143
0143
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 x #s(literal 1/3 binary64))
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
0.7MiB live, 0.7MiB 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
2.9MiB live, 2.9MiB 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-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1137
2147
0147
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 x #s(literal 1/3 binary64))
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
21.4MiB live, 21.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.01171875
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
8.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (56.7% of total)
ival-sub: 1.0ms (28.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
2 → 5
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
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
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)))

simplify16.0ms (0.3%)

Memory
-25.0MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
13211
27511
315811
441211
552311
657611
759911
860111
060111
Stop Event
iter limit
saturated
Counts
5 → 4
Calls
Call 1
Inputs
-1/3
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))

rewrite145.0ms (2.9%)

Memory
5.6MiB live, 196.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
084
1274
21294
39794
085574
Stop Event
iter limit
node limit
iter limit
Counts
2 → 313
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 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (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 -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.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 -1 binary64)))
(*.f64 (/.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 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 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)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 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 -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #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 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 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 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 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 -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 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 -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal -1 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 -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (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 -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 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 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))) (/.f64 (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 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.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 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 (/.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 (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 (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 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 (/.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 (*.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 (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #s(literal 1/729 binary64) (*.f64 (-.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 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #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) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #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 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 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 1/19683 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 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 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.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 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 x #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.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))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.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 (fma.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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.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 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 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 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 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 (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 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 x #s(literal -1/3 binary64))

eval46.0ms (0.9%)

Memory
28.4MiB live, 72.1MiB allocated
Compiler

Compiled 8 075 to 763 computations (90.6% saved)

prune8.0ms (0.2%)

Memory
-18.2MiB live, 19.5MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3105315
Fresh000
Picked101
Done000
Total3115316
Accuracy
100.0%
Counts
316 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
75.3%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
51.5%
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
51.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 144 to 84 computations (41.7% saved)

simplify139.0ms (2.8%)

Memory
6.8MiB live, 159.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal -1/3 binary64))
cost-diff64
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)))
cost-diff128
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
cost-diff3648
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
cost-diff0
(-.f64 x #s(literal -1/3 binary64))
cost-diff0
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
cost-diff0
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1/3 binary64) x)
cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
cost-diff0
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
cost-diff128
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029187
049187
195187
2236172
3771169
43541167
57603167
08203165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#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)))
#s(literal -1/27 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 x x)
#s(literal 1/9 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
#s(literal 1/9 binary64)
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 x (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#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 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x)) (-.f64 x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(*.f64 x x)
#s(literal 1/9 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) x) (/.f64 (-.f64 #s(literal -1/3 binary64) x) x))

localize112.0ms (2.3%)

Memory
8.1MiB live, 167.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
accuracy0.299823779305326
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
accuracy14.767599624534048
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
accuracy16.226272842733596
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
accuracy0.01171875
(-.f64 x #s(literal -1/3 binary64))
accuracy0.6032821371596411
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy14.719828200537815
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy14.888693374534048
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy0.015625
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
accuracy0.07421875
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
accuracy0.14453125
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
accuracy0.6661520186475691
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy31.238700399017723
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy0.01171875
(-.f64 x #s(literal 1/3 binary64))
Samples
52.0ms198×0valid
19.0ms25×2valid
19.0ms33×1valid
Compiler

Compiled 388 to 62 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
const: 18.0ms (25.6% of total)
ival-div: 16.0ms (22.8% of total)
ival-mult: 16.0ms (22.8% of total)
ival-sub: 9.0ms (12.8% of total)
adjust: 5.0ms (7.1% of total)
ival-add: 5.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-16.7MiB live, 20.6MiB allocated
Counts
19 → 84
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 #s(literal 1/3 binary64) x)
(*.f64 x x)
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
Outputs
-1/3
(- x 1/3)
-1
(- (* -9 (pow x 2)) 1)
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/3 x)
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))
4.0ms
x
@inf
((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))
4.0ms
x
@0
((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3)))

simplify144.0ms (2.9%)

Memory
42.9MiB live, 157.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0263791
1730762
21755724
35114709
08455670
Stop Event
iter limit
node limit
Counts
84 → 83
Calls
Call 1
Inputs
-1/3
(- x 1/3)
-1
(- (* -9 (pow x 2)) 1)
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
-1/9
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/3 x)
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
1
(- 1 (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1
#s(literal -1 binary64)
(- (* -9 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(fma.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) (*.f64 x x) #s(literal -81 binary64)) (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 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)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(/ 1/27 (pow x 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x)
(/ -1/27 (pow x 2))
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x)
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* 27 x) 9))))
(*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(* (pow x 2) (+ 3 (* -9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/ 1/3 (pow x 2))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/ (+ 1/3 x) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) x) x) x)
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) x) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (*.f64 x x))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(-.f64 #s(literal 1/3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1 binary64))
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) x)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/27 binary64))) (*.f64 x x))
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(+ 1 (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x)
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x))

rewrite373.0ms (7.5%)

Memory
-10.2MiB live, 318.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029163
049163
1222158
22036152
09430151
Stop Event
iter limit
node limit
iter limit
Counts
19 → 975
Calls
Call 1
Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
(-.f64 #s(literal 1/3 binary64) x)
(*.f64 x x)
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)))
(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
Outputs
(*.f64 (/.f64 (fma.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 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 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 -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 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))) (*.f64 (fma.f64 x x (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)))))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)))
(/.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) x) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))

eval258.0ms (5.2%)

Memory
6.5MiB live, 276.7MiB allocated
Compiler

Compiled 44 714 to 4 243 computations (90.5% saved)

prune40.0ms (0.8%)

Memory
-7.9MiB live, 68.8MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 27321 275
Fresh000
Picked235
Done000
Total1 27551 280
Accuracy
100.0%
Counts
1 280 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
53.2%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
50.5%
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
51.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 83 to 57 computations (31.3% saved)

simplify147.0ms (3%)

Memory
-6.3MiB live, 190.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff0
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
cost-diff0
(-.f64 x #s(literal -1/3 binary64))
cost-diff0
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))
cost-diff704
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026161
039161
171161
2159159
3407159
41104153
54799153
08340152
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
#s(literal 1/27 binary64)
(*.f64 x x)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) (-.f64 x #s(literal -1/3 binary64))) x)
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
#s(literal 1/27 binary64)
(*.f64 x x)
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) x) (/.f64 (-.f64 #s(literal -1/3 binary64) x) x))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize142.0ms (2.9%)

Memory
-12.4MiB live, 120.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 x #s(literal -1/3 binary64))
accuracy0.6032821371596411
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy14.719828200537815
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy31.062853460733564
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy0.6618758871596411
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
accuracy14.767599624534048
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
accuracy16.226272842733596
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
accuracy30.27270068992788
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
Samples
97.0ms233×0valid
6.0ms11×2valid
4.0ms12×1valid
Compiler

Compiled 306 to 51 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
const: 35.0ms (55.2% of total)
ival-mult: 14.0ms (22.1% of total)
ival-div: 8.0ms (12.6% of total)
ival-sub: 3.0ms (4.7% of total)
ival-add: 2.0ms (3.2% of total)
adjust: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
11 → 42
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))
(-.f64 x #s(literal -1/3 binary64))
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
-1/3
(- x 1/3)
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
1/3
(+ 1/3 x)
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
2.0ms
x
@inf
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
2.0ms
x
@0
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))

simplify318.0ms (6.4%)

Memory
4.0MiB live, 155.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160396
1436386
21091370
33239354
08096343
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
1/3
(+ 1/3 x)
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(/ 1/9 x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(/ 1/27 (pow x 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(/ (+ 1/27 (* 1/9 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(/ 1/3 (pow x 2))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/ (+ 1/3 x) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 1/27 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite404.0ms (8.2%)

Memory
6.2MiB live, 282.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026130
039130
1154128
21213126
08300126
Stop Event
iter limit
node limit
iter limit
Counts
11 → 512
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))
(-.f64 x #s(literal -1/3 binary64))
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.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 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/27 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64))))
(/.f64 (/.f64 #s(literal 1/27 binary64) x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 27 binary64)))
(/.f64 #s(literal -1/27 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/27 binary64) (*.f64 x x))
(neg.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)))
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))

eval172.0ms (3.5%)

Memory
-13.0MiB live, 139.5MiB allocated
Compiler

Compiled 34 177 to 2 383 computations (93% saved)

prune16.0ms (0.3%)

Memory
-25.3MiB live, 47.2MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New7122714
Fresh000
Picked202
Done033
Total7145719
Accuracy
100.0%
Counts
719 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
53.1%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
24.9%
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
51.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 85 to 57 computations (32.9% saved)

simplify142.0ms (2.9%)

Memory
10.4MiB live, 169.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff0
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
cost-diff320
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
cost-diff384
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027156
040156
173156
2157156
3388156
41115152
53362148
66706148
08250146
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
#s(literal -1/27 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
#s(literal -1/27 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x)
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize107.0ms (2.2%)

Memory
7.3MiB live, 93.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.6032821371596411
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy14.719828200537815
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy31.062853460733564
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy31.121277488502198
#s(approx (- x -1/3) #s(literal 1/3 binary64))
accuracy0.6618758871596411
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
accuracy14.767599624534048
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
accuracy16.226272842733596
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
accuracy31.419267661971006
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
Samples
39.0ms233×0valid
5.0ms11×2valid
4.0ms12×1valid
Compiler

Compiled 290 to 52 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
const: 13.0ms (35.5% of total)
ival-mult: 9.0ms (24.6% of total)
ival-div: 8.0ms (21.9% of total)
ival-sub: 3.0ms (8.2% of total)
ival-add: 2.0ms (5.5% of total)
adjust: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-20.8MiB live, 15.2MiB allocated
Counts
11 → 44
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
-1/3
(- x 1/3)
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
1/3
(+ 1/3 x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
3.0ms
x
@0
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
2.0ms
x
@inf
((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))

simplify147.0ms (3%)

Memory
12.7MiB live, 172.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167414
1458404
21125388
33299372
08215359
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 x) (pow x 2))
1/3
(+ 1/3 x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
1
(+ 1 (* 2/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 2/3 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) x) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* -1/9 x) 1/27) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2))
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(/ 1/3 (pow x 2))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x)
(/ (+ 1/3 x) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite215.0ms (4.4%)

Memory
12.2MiB live, 173.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027134
040134
1168130
21341126
08241122
Stop Event
iter limit
node limit
iter limit
Counts
11 → 399
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (-.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 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))) (*.f64 x x))
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x))
(*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))))))
(*.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (pow.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))
(*.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
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(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) x))
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(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x x) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (/.f64 x x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(-.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 x x)) (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 x x)))
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(+.f64 (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
#s(approx (- x -1/3) #s(literal 1/3 binary64))
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(pow.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)))
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(/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/27 binary64) (neg.f64 (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))

eval53.0ms (1.1%)

Memory
-5.4MiB live, 115.8MiB allocated
Compiler

Compiled 17 865 to 1 523 computations (91.5% saved)

prune9.0ms (0.2%)

Memory
-5.8MiB live, 32.5MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4430443
Fresh000
Picked022
Done033
Total4435448
Accuracy
100.0%
Counts
448 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
53.1%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
24.9%
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
51.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 276 to 116 computations (58% saved)

regimes7.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
10 → 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)))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

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

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.1%)

Memory
-29.0MiB live, 9.4MiB 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:

3.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
51.2%1x
51.2%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify125.0ms (2.5%)

Memory
9.7MiB live, 48.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
1148
2188
3208
4218
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))

soundness150.0ms (3%)

Memory
0.2MiB live, 117.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
13211
27511
315811
441211
552311
657611
759911
860111
060111
054
084
1274
21294
39794
085574
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess16.0ms (0.3%)

Memory
31.6MiB live, 31.6MiB allocated
Compiler

Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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