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

Time bar (total: 5.6s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample482.0ms (8.6%)

Memory
13.3MiB live, 885.4MiB allocated
Samples
286.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-div: 77.0ms (54.3% of total)
ival-sub: 49.0ms (34.6% 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

preprocess15.0ms (0.3%)

Memory
32.1MiB live, 32.0MiB 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))

explain206.0ms (3.7%)

Memory
-23.6MiB live, 98.8MiB 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
172.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

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

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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)

localize25.0ms (0.4%)

Memory
-10.9MiB live, 28.4MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.6% of total)
ival-sub: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
#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))

simplify42.0ms (0.7%)

Memory
-10.6MiB live, 31.1MiB 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))

rewrite358.0ms (6.4%)

Memory
13.9MiB live, 522.1MiB allocated
Algorithm
batch-egg-rewrite
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))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.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)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.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 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (/.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) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.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) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.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) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) 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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.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) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.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)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/9 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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.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 -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.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 x) #s(literal 1/27 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (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 (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

eval39.0ms (0.7%)

Memory
17.1MiB live, 90.7MiB allocated
Compiler

Compiled 10 409 to 762 computations (92.7% saved)

prune52.0ms (0.9%)

Memory
0.1MiB live, 156.4MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3203323
Fresh000
Picked101
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x #s(literal 1/3 binary64))
78.8%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
44.9%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify46.0ms (0.8%)

Memory
-10.8MiB live, 72.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
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
384×lower-fma.f32
382×lower-fma.f64
248×lower-*.f32
246×lower-*.f64
176×associate-*r/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01537
02037
13037
24436
37036
48836
513335
629135
774235
8132935
9134935
10135835
11136435
12136935
13137135
0137135
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)
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)

localize66.0ms (1.2%)

Memory
-15.1MiB live, 116.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x #s(literal 1/3 binary64))
accuracy100.0%
(fma.f64 x x #s(literal -1/9 binary64))
accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy78.8%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
accuracy44.9%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
const: 9.0ms (39.7% of total)
ival-div: 6.0ms (26.5% of total)
ival-sub: 3.0ms (13.2% of total)
ival-mult: 3.0ms (13.2% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
6 → 72
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>) () ())
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>) () ())) ())
Calls

18 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
(/ -1 (- -1/3 x))

simplify497.0ms (8.9%)

Memory
35.1MiB live, 380.4MiB allocated
Algorithm
egg-herbie
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
2 430×lower-*.f64
2 430×lower-*.f32
1 606×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075295
1206287
2487278
31347274
43559274
55806274
67066274
77373274
87455274
97470274
107558274
08068259
Stop Event
iter limit
node limit
Counts
72 → 66
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)))
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 #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)
-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))

rewrite351.0ms (6.3%)

Memory
-19.0MiB live, 476.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 128×lower-*.f32
4 126×lower-*.f64
4 108×lower-fma.f32
4 106×lower-fma.f64
2 332×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
02023
17723
248423
3552223
0861723
Stop Event
iter limit
node limit
iter limit
Counts
6 → 777
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))
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 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 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 x (/.f64 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 (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal -1/3 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (/.f64 x (+.f64 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 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64) (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (neg.f64 x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
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(*.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) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (/.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(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (*.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 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (*.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 (*.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 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 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 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.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 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))

eval987.0ms (17.6%)

Memory
-3.9MiB live, 186.9MiB allocated
Compiler

Compiled 19 050 to 1 517 computations (92% saved)

prune138.0ms (2.5%)

Memory
2.0MiB live, 162.5MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New8421843
Fresh000
Picked033
Done000
Total8424846
Accuracy
100.0%
Counts
846 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x #s(literal 1/3 binary64))
78.8%
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
44.3%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
44.9%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify25.0ms (0.4%)

Memory
0.7MiB live, 38.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
cost-diff320
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
Rules
176×lower-fma.f64
176×lower-fma.f32
136×lower-*.f32
134×lower-*.f64
72×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01332
11932
22531
33331
44431
56430
611530
723930
839430
942730
1043730
1145330
1246530
1347330
1448230
1548630
048628
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#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)
x
Outputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#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)
x

localize48.0ms (0.9%)

Memory
-20.3MiB live, 33.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -1/3 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy78.8%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
accuracy43.9%
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
38.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 21.0ms (72.8% of total)
ival-mult: 4.0ms (13.9% of total)
ival-div: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) #<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 (/.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>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))) (patch (*.f64 #s(approx (+ (* x x) -1/9) #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 #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 (/.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>) () ())) ())
Calls

12 calls:

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

simplify292.0ms (5.2%)

Memory
40.3MiB live, 427.2MiB allocated
Algorithm
egg-herbie
Rules
8 508×lower-fma.f64
8 508×lower-fma.f32
2 430×lower-*.f64
2 430×lower-*.f32
1 606×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075235
1206227
2487218
31347214
43559214
55806214
67066214
77373214
87455214
97470214
107558214
08068199
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))
-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)))))
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)
-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)

rewrite322.0ms (5.8%)

Memory
-23.3MiB live, 458.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 362×lower-/.f32
4 360×lower-/.f64
2 874×lower-*.f32
2 872×lower-*.f64
2 640×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01328
15727
233926
3283826
0868024
Stop Event
iter limit
node limit
iter limit
Counts
4 → 582
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal -1/3 binary64) x)
Outputs
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x))
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))))
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(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (pow.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 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)))

eval101.0ms (1.8%)

Memory
9.2MiB live, 159.1MiB allocated
Compiler

Compiled 15 418 to 2 081 computations (86.5% saved)

prune89.0ms (1.6%)

Memory
21.4MiB live, 217.3MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6271628
Fresh000
Picked011
Done123
Total6284632
Accuracy
100.0%
Counts
632 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x #s(literal 1/3 binary64))
44.3%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
99.7%
(*.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))))
44.9%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 25 to 18 computations (28% saved)

simplify16.0ms (0.3%)

Memory
-41.8MiB live, 13.4MiB 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)

localize38.0ms (0.7%)

Memory
33.5MiB live, 70.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
accuracy78.8%
(*.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))))
accuracy44.3%
#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
accuracy43.9%
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
Samples
24.0ms250×0valid
1.0ms1valid
0.0ms2valid
Compiler

Compiled 32 to 15 computations (53.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
const: 6.0ms (34.3% of total)
ival-mult: 5.0ms (28.6% of total)
ival-div: 2.0ms (11.4% of total)
ival-add: 2.0ms (11.4% 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
4.7MiB live, 4.7MiB 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
@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)))

simplify326.0ms (5.8%)

Memory
-6.2MiB live, 421.8MiB 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))

rewrite758.0ms (13.5%)

Memory
-9.6MiB live, 506.2MiB allocated
Algorithm
batch-egg-rewrite
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))
(fma.f64 x (/.f64 (*.f64 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)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal -9 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) (/.f64 #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)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))
(fma.f64 #s(literal -9 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -9 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)))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x #s(literal -9 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)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal -1 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)))))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x x) (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)))))
(fma.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 x (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)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -9 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)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 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)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 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))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(fma.f64 (exp.f64 (log.f64 #s(literal -9 binary64))) x #s(literal 3 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 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)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 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))) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))
(/.f64 (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)) (*.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) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (*.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) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))))
(/.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (*.f64 (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 (*.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 (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 (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)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (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 (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))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (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 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.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))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 9 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)))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 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 (*.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 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 9 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))))) (fma.f64 x (/.f64 (*.f64 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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (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)) (/.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 (*.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 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (/.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 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 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 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (/.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 (neg.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 3 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 #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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.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))))

eval16.0ms (0.3%)

Memory
5.1MiB live, 44.1MiB allocated
Compiler

Compiled 2 750 to 394 computations (85.7% saved)

prune16.0ms (0.3%)

Memory
8.5MiB live, 48.0MiB 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
100.0%
(-.f64 x #s(literal 1/3 binary64))
44.3%
(*.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
99.7%
(*.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))))
44.9%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes5.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
6 → 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 #s(approx (+ (* x x) -1/9) #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 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-32.6MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
44.9%1x
44.9%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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))

soundness180.0ms (3.2%)

Memory
-4.4MiB live, 174.1MiB 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
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)

preprocess35.0ms (0.6%)

Memory
-19.4MiB live, 57.3MiB allocated
Compiler

Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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