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

Time bar (total: 4.4s)

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)

sample463.0ms (10.6%)

Memory
15.0MiB live, 868.9MiB allocated
Samples
279.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-div: 88.0ms (61.5% of total)
ival-sub: 41.0ms (28.6% of total)
exact: 7.0ms (4.9% of total)
ival-true: 5.0ms (3.5% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

explain50.0ms (1.2%)

Memory
-6.4MiB live, 96.5MiB 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
20.0ms512×0valid
Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.8% of total)
ival-sub: 2.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.3%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
egg-herbie
Rules
16×distribute-lft-neg-in
14×sub-neg
12×cancel-sign-sub-inv
10×associate--r+
10×distribute-neg-in
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 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB 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))
Rules
lower-+.f64
lower-+.f32
lift-/.f64
1-exp
lift--.f64
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)

localize82.0ms (1.9%)

Memory
-19.2MiB live, 18.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.015625
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
77.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (56.2% of total)
ival-sub: 1.0ms (28.1% 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
1.0MiB live, 1.0MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify17.0ms (0.4%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
egg-herbie
Rules
192×lower-fma.f64
192×lower-fma.f32
144×lower-*.f64
144×lower-*.f32
96×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
Stop Event
iter limit
saturated
Counts
12 → 10
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

rewrite785.0ms (17.9%)

Memory
4.2MiB live, 272.1MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
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 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
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eval43.0ms (1%)

Memory
0.7MiB live, 74.0MiB allocated
Compiler

Compiled 10 409 to 761 computations (92.7% saved)

prune50.0ms (1.1%)

Memory
-16.6MiB live, 108.2MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3194323
Fresh000
Picked101
Done000
Total3204324
Accuracy
100.0%
Counts
324 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal 1/3 binary64))
78.1%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
50.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify94.0ms (2.1%)

Memory
1.8MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
cost-diff0
(-.f64 x #s(literal 1/3 binary64))
cost-diff0
(-.f64 #s(literal -1/3 binary64) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
cost-diff320
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
cost-diff0
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Rules
1 128×lower-fma.f32
1 122×lower-fma.f64
632×lower-*.f32
628×lower-*.f64
362×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02272
03370
15370
27669
310769
412569
517068
632768
779868
8151168
9168868
10175068
11186168
12214468
13234668
14246068
15269068
16271068
17271068
0271068
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
#s(literal -1 binary64)
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize115.0ms (2.6%)

Memory
-6.7MiB live, 117.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 #s(literal 1/3 binary64) x)
accuracy0.03125
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
accuracy0.046875
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
accuracy18.639250539419372
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
accuracy0.015625
(-.f64 x #s(literal 1/3 binary64))
accuracy0.015625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy0.015625
(-.f64 #s(literal -1/3 binary64) x)
accuracy0.0234375
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy14.01379814182082
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
accuracy31.886044177054792
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
68.0ms256×0valid
Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
const: 33.0ms (57.9% of total)
ival-div: 9.0ms (15.8% of total)
ival-mult: 6.0ms (10.5% of total)
ival-add: 4.0ms (7% of total)
ival-sub: 3.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/27 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
Calls

33 calls:

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

simplify184.0ms (4.2%)

Memory
-0.8MiB live, 275.4MiB allocated
Algorithm
egg-herbie
Rules
8 024×lower-fma.f64
8 024×lower-fma.f32
3 062×lower-*.f64
3 062×lower-*.f32
1 444×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091515
1257507
2639490
31876486
44560486
08165464
Stop Event
iter limit
node limit
Counts
132 → 122
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) 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))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1/3 binary64)))
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))))
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1/3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64))))
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))

rewrite429.0ms (9.8%)

Memory
2.5MiB live, 454.1MiB allocated
Rules
4 002×lower-/.f32
3 998×lower-/.f64
3 992×lower-*.f32
3 988×lower-*.f64
3 262×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261
03343
113543
295443
0877743
Stop Event
iter limit
node limit
iter limit
Counts
11 → 1 264
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(fma.f64 x x #s(literal -1/9 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(*.f64 x x)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))))
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(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(neg.f64 (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.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 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal -1/3 binary64) x))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)))

eval252.0ms (5.7%)

Memory
8.3MiB live, 312.1MiB allocated
Compiler

Compiled 40 322 to 2 128 computations (94.7% saved)

prune121.0ms (2.8%)

Memory
-20.7MiB live, 222.1MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1 38511 386
Fresh000
Picked134
Done000
Total1 38641 390
Accuracy
100.0%
Counts
1 390 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal 1/3 binary64))
49.2%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
50.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify9.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
cost-diff0
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1/9 binary64))
cost-diff0
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
Rules
76×lower-+.f64
76×lower-+.f32
60×lower-fma.f32
56×lower-fma.f64
38×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
01737
12337
23537
34437
45337
56337
68037
711137
813037
914037
1014337
1114637
014637
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
#s(literal -9 binary64)
#s(literal 3 binary64)
Outputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
x
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
#s(literal -9 binary64)
#s(literal 3 binary64)

localize42.0ms (1%)

Memory
-1.5MiB live, 80.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
accuracy0.015625
(fma.f64 x x #s(literal -1/9 binary64))
accuracy14.01379814182082
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
accuracy32.18804294197638
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
Samples
31.0ms249×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 32 to 15 computations (53.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 10.0ms (40% of total)
ival-div: 5.0ms (20% of total)
ival-mult: 5.0ms (20% of total)
ival-add: 2.0ms (8% of total)
ival-sub: 1.0ms (4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify207.0ms (4.7%)

Memory
-11.3MiB live, 260.2MiB allocated
Algorithm
egg-herbie
Rules
8 918×lower-fma.f64
8 918×lower-fma.f32
2 488×lower-*.f64
2 488×lower-*.f32
1 500×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076246
1209238
2488238
31180234
43862234
56913234
67931234
08022210
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) 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))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
3
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(* -9 x)
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 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 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 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 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))

rewrite540.0ms (12.3%)

Memory
-187.4MiB live, 404.6MiB allocated
Rules
4 824×lower-fma.f32
4 820×lower-fma.f64
4 388×lower-*.f32
4 386×lower-*.f64
2 566×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01733
17433
246833
3395833
0852233
Stop Event
iter limit
node limit
iter limit
Counts
4 → 219
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x x #s(literal -1/9 binary64))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 x (*.f64 x #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(fma.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal -1/9 binary64) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(fma.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x x) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) x) x (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))))) (fma.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))))) (fma.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)))) (-.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))) (-.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 #s(literal -1/9 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
(/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/81 binary64))))
(+.f64 #s(literal -1/9 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -9 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal 9 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal -9 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal -9 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -387420489 binary64) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))

eval78.0ms (1.8%)

Memory
-7.7MiB live, 68.1MiB allocated
Compiler

Compiled 7 286 to 837 computations (88.5% saved)

prune40.0ms (0.9%)

Memory
9.8MiB live, 90.1MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2641265
Fresh000
Picked101
Done033
Total2654269
Accuracy
100.0%
Counts
269 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal 1/3 binary64))
99.8%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
50.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify9.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
cost-diff0
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
cost-diff0
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
Rules
56×lower-+.f64
56×lower-+.f32
28×lower-fma.f32
26×lower-fma.f64
24×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
01743
12343
22743
33243
44043
55043
66743
79043
810243
910843
1011143
1111443
011441
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
x
#s(literal -9 binary64)
#s(literal 3 binary64)

localize41.0ms (0.9%)

Memory
-31.6MiB live, 88.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
accuracy14.01379814182082
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
accuracy32.18804294197638
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
accuracy32.408836185788
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
27.0ms249×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 32 to 15 computations (53.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
const: 6.0ms (34.4% of total)
ival-mult: 5.0ms (28.7% of total)
ival-add: 3.0ms (17.2% of total)
ival-div: 2.0ms (11.5% of total)
ival-sub: 1.0ms (5.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.0MiB live, 4.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (patch #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify199.0ms (4.6%)

Memory
10.6MiB live, 256.4MiB allocated
Algorithm
egg-herbie
Rules
8 918×lower-fma.f64
8 918×lower-fma.f32
2 488×lower-*.f64
2 488×lower-*.f32
1 500×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076246
1209238
2488238
31180234
43862234
56913234
67931234
08022210
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) 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))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
3
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(* -9 x)
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 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 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 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 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal -1/3 binary64)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))

rewrite223.0ms (5.1%)

Memory
26.0MiB live, 376.1MiB allocated
Rules
4 776×lower-fma.f32
4 774×lower-fma.f64
4 264×lower-*.f32
4 262×lower-*.f64
2 496×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
01739
17439
245239
3378139
0830237
Stop Event
iter limit
node limit
iter limit
Counts
4 → 88
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal -387420489 binary64) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))

eval17.0ms (0.4%)

Memory
-11.6MiB live, 35.5MiB allocated
Compiler

Compiled 2 750 to 394 computations (85.7% saved)

prune17.0ms (0.4%)

Memory
7.8MiB live, 46.5MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done033
Total1344138
Accuracy
100.0%
Counts
138 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal 1/3 binary64))
99.8%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
50.2%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 82 to 45 computations (45.1% saved)

regimes7.0ms (0.2%)

Memory
-18.3MiB live, 20.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
50.2%1x
50.2%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify33.0ms (0.8%)

Memory
-17.3MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
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))

soundness160.0ms (3.6%)

Memory
-8.9MiB live, 157.7MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13230
27530
315830
441230
552330
657630
759930
860130
060130
054
084
1274
21294
39794
085574
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess38.0ms (0.9%)

Memory
21.3MiB live, 68.5MiB allocated
Compiler

Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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