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

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.4s (33.7%)

Memory
1.6MiB live, 902.6MiB allocated
Samples
667.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-div: 86.0ms (59.9% of total)
ival-sub: 41.0ms (28.6% of total)
exact: 7.0ms (4.9% of total)
ival-true: 6.0ms (4.2% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

explain52.0ms (1.3%)

Memory
6.3MiB live, 125.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(-.f64 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
17.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.9% of total)
ival-sub: 2.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.4%)

Memory
0.9MiB live, 38.3MiB allocated
Algorithm
egg-herbie
Rules
16×distribute-lft-neg-in
14×sub-neg
12×cancel-sign-sub-inv
10×associate--r+
10×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2396
3636
4966
51046
61066
053
083
1133
2143
0143
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Rules
lower-+.f64
lower-+.f32
lift-/.f64
1-exp
lift--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1137
2147
0147
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(-.f64 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize20.0ms (0.5%)

Memory
-7.8MiB live, 33.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 10.0ms (89% of total)
ival-sub: 1.0ms (8.9% 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
2.1MiB live, 2.1MiB 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
((/ 1 3) (- x (/ 1 3)))
0.0ms
x
@-inf
((/ 1 3) (- x (/ 1 3)))
0.0ms
x
@0
((/ 1 3) (- x (/ 1 3)))

simplify17.0ms (0.4%)

Memory
-5.9MiB live, 31.3MiB 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))

rewrite170.0ms (4.2%)

Memory
16.9MiB live, 336.9MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval40.0ms (1%)

Memory
-6.2MiB live, 114.0MiB allocated
Compiler

Compiled 8 097 to 759 computations (90.6% saved)

prune6.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB 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
72.2%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
46.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify6.0ms (0.2%)

Memory
-26.7MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01763
02563
13963
25062
36062
46662
06662
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 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 x (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)

localize124.0ms (3.1%)

Memory
15.1MiB live, 92.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy0.4456657477300252
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy16.54204079703083
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy16.66404460341632
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy0.00390625
(-.f64 x #s(literal 1/3 binary64))
accuracy34.089432406718245
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Samples
110.0ms245×0valid
2.0ms1valid
2.0ms2valid
Compiler

Compiled 71 to 20 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
const: 87.0ms (83% of total)
ival-div: 6.0ms (5.7% of total)
ival-mult: 5.0ms (4.8% of total)
ival-sub: 4.0ms (3.8% of total)
ival-add: 2.0ms (1.9% of total)
adjust: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
8 → 96
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 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 -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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* -27 x))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<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 (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 (-.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 (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify354.0ms (8.8%)

Memory
6.8MiB live, 123.2MiB allocated
Algorithm
egg-herbie
Rules
10 196×lower-fma.f64
10 196×lower-fma.f32
3 368×lower-*.f64
3 368×lower-*.f32
1 996×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122482
1346478
2846470
32476466
46522466
08425450
Stop Event
iter limit
node limit
Counts
96 → 88
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 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))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
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))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
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))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 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 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite365.0ms (9.1%)

Memory
-0.9MiB live, 196.8MiB allocated
Rules
8 592×lower-fma.f32
8 588×lower-fma.f64
5 618×lower-*.f32
5 616×lower-*.f64
3 818×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
02539
19839
272439
0893039
Stop Event
iter limit
node limit
iter limit
Counts
8 → 673
Calls
Call 1
Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 x x)
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) #s(literal -27 binary64))))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))))
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(+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))

eval167.0ms (4.2%)

Memory
-1.7MiB live, 270.6MiB allocated
Compiler

Compiled 29 206 to 2 012 computations (93.1% saved)

prune20.0ms (0.5%)

Memory
-19.7MiB live, 67.6MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New9521953
Fresh000
Picked123
Done000
Total9533956
Accuracy
100.0%
Counts
956 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
46.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
Rules
32×lower-+.f64
32×lower-+.f32
30×lower-fma.f32
26×lower-fma.f64
26×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01664
02464
13464
24264
35164
45764
05764
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(literal -1/27 binary64)
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)

localize51.0ms (1.3%)

Memory
11.1MiB live, 89.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy0.4456657477300252
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy16.54204079703083
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy33.9064048787929
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
Samples
38.0ms245×0valid
2.0ms1valid
1.0ms2valid
Compiler

Compiled 64 to 16 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 15.0ms (46.7% of total)
const: 9.0ms (28% of total)
ival-div: 3.0ms (9.3% of total)
ival-add: 2.0ms (6.2% of total)
ival-sub: 1.0ms (3.1% 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)

series28.0ms (0.7%)

Memory
-24.6MiB live, 15.0MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* -27 x))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@inf
((+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9))
1.0ms
x
@-inf
((+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9))
1.0ms
x
@0
((+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9))

simplify139.0ms (3.5%)

Memory
14.7MiB live, 187.9MiB allocated
Algorithm
egg-herbie
Rules
10 444×lower-fma.f64
10 444×lower-fma.f32
3 058×lower-*.f64
3 058×lower-*.f32
2 528×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121460
1340456
2833456
32487428
46793428
08165412
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 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 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))

rewrite219.0ms (5.4%)

Memory
-10.6MiB live, 307.5MiB allocated
Rules
7 612×lower-fma.f32
7 608×lower-fma.f64
4 594×lower-*.f32
4 590×lower-*.f64
3 156×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
02456
18856
259156
3657656
0812656
Stop Event
iter limit
node limit
iter limit
Counts
6 → 249
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -3 binary64))))) (fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))
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(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -2 binary64)) #s(literal 1/729 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/729 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(*.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))))
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(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) x) #s(literal 1/9 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 x (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 1/9 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) x) #s(literal 1/9 binary64))
(fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64))
(+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))
(+.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))

eval69.0ms (1.7%)

Memory
-16.8MiB live, 105.1MiB allocated
Compiler

Compiled 10 559 to 927 computations (91.2% saved)

prune6.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3181319
Fresh000
Picked101
Done022
Total3193322
Accuracy
100.0%
Counts
322 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
46.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 20 to 18 computations (10% saved)

simplify32.0ms (0.8%)

Memory
-27.7MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
Rules
32×lower-+.f64
32×lower-+.f32
30×lower-fma.f32
26×lower-fma.f64
26×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01785
02485
13585
24085
34485
44885
04880
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(literal -1/27 binary64)
#s(approx (+ (* x (- x -1/3)) 1/9) (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))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 x x)
x
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
#s(literal -1/27 binary64)
#s(approx (+ (* x (- x -1/3)) 1/9) (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))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize82.0ms (2%)

Memory
20.3MiB live, 140.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.4456657477300252
(/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
accuracy16.54204079703083
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
accuracy33.50887492333092
#s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
accuracy33.9064048787929
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
Samples
35.0ms245×0valid
3.0ms2valid
2.0ms1valid
Compiler

Compiled 66 to 19 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
const: 12.0ms (38.3% of total)
ival-mult: 8.0ms (25.5% of total)
ival-add: 5.0ms (15.9% of total)
ival-div: 3.0ms (9.6% of total)
ival-sub: 1.0ms (3.2% 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)

series7.0ms (0.2%)

Memory
-21.9MiB live, 15.3MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* -27 x))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) (taylor inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (patch (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (patch #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/27 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (patch (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify134.0ms (3.3%)

Memory
31.4MiB live, 186.8MiB allocated
Algorithm
egg-herbie
Rules
10 444×lower-fma.f64
10 444×lower-fma.f32
3 058×lower-*.f64
3 058×lower-*.f32
2 528×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121460
1340456
2833456
32483428
46775428
08148412
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 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 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite181.0ms (4.5%)

Memory
3.7MiB live, 242.5MiB allocated
Rules
7 426×lower-fma.f32
7 422×lower-fma.f64
5 380×lower-*.f32
5 376×lower-*.f64
3 998×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
02476
110176
270376
0835971
Stop Event
iter limit
node limit
iter limit
Counts
6 → 129
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 x x)
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -3 binary64))))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -3 binary64)) #s(literal -1/19683 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -3 binary64)) #s(literal -1/19683 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) (-.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)))) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64))))) (fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)) #s(literal 1/729 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -3 binary64)) #s(literal -1/19683 binary64))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x x)) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -3 binary64)) #s(literal -1/19683 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))))
(-.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -2 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))))
(+.f64 (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(+.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1 binary64))
#s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 1/27 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 #s(literal 1/27 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/27 binary64) (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal -27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 27 binary64)))
(/.f64 (pow.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal -27 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1/27 binary64) (neg.f64 #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) #s(literal -1 binary64)))

eval28.0ms (0.7%)

Memory
-13.8MiB live, 60.7MiB allocated
Compiler

Compiled 6 513 to 460 computations (92.9% saved)

prune5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1990199
Fresh000
Picked011
Done022
Total1993202
Accuracy
100.0%
Counts
202 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
46.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 81 to 43 computations (46.9% saved)

regimes5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB 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 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
Outputs
(-.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
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 6 to 6 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-44.6MiB live, 5.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

8.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
46.7%1x
46.7%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify123.0ms (3.1%)

Memory
7.2MiB live, 44.6MiB allocated
Algorithm
egg-herbie
Rules
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
1-exp-binary32-exp.f32
*-commutative-binary64-*.f64
1-exp-binary64-exp.f64
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))

soundness122.0ms (3%)

Memory
20.7MiB live, 91.9MiB allocated
Rules
6 912×lower-fma.f64
6 912×lower-fma.f32
4 474×lower-*.f64
4 474×lower-*.f32
3 944×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 14 computations (0% saved)

preprocess49.0ms (1.2%)

Memory
-4.3MiB live, 73.2MiB allocated
Compiler

Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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