Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample856.0ms (13.8%)

Memory
18.9MiB live, 954.2MiB allocated
Samples
632.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 348.0ms (83.4% of total)
ival-sub: 53.0ms (12.7% of total)
exact: 8.0ms (1.9% of total)
ival-true: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain107.0ms (1.7%)

Memory
-14.0MiB live, 148.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-(*.f64 x x)
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
50.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (68.8% of total)
ival-sub: 3.0ms (22.9% of total)
exact: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess61.0ms (1%)

Memory
-33.6MiB live, 84.7MiB allocated
Algorithm
egg-herbie
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
204×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13618
212018
345118
484518
594018
694418
079
0119
1209
2489
31129
42089
52669
63469
75009
86239
97049
108729
118749
08748
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (0.4%)

Memory
30.6MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
166×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12023
24823
311223
420823
526623
634623
750023
862323
970423
1087223
1187423
087421
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize20.0ms (0.3%)

Memory
-8.0MiB live, 30.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0.1328125
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.1% of total)
ival-sub: 3.0ms (31.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 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 (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 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 (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 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 (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms
x
@-inf
((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms
x
@0
((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))

simplify178.0ms (2.9%)

Memory
-5.4MiB live, 147.7MiB allocated
Algorithm
egg-herbie
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
3 112×lower-*.f64
3 112×lower-*.f32
2 720×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3493220
41143220
52033220
62896220
73653220
85407220
96071220
106439220
08223202
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite207.0ms (3.3%)

Memory
14.0MiB live, 205.1MiB allocated
Rules
9 334×lower-fma.f64
9 334×lower-fma.f32
4 144×lower-*.f32
4 138×lower-*.f64
3 844×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13520
221920
3175920
0851618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 287
Calls
Call 1
Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)))))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))))) (-.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))) (-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))))
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(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.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) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))

eval69.0ms (1.1%)

Memory
-21.6MiB live, 96.0MiB allocated
Compiler

Compiled 8 146 to 963 computations (88.2% saved)

prune11.0ms (0.2%)

Memory
35.9MiB live, 35.9MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3269335
Fresh000
Picked101
Done000
Total3279336
Accuracy
100.0%
Counts
336 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
97.9%
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
97.9%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
99.8%
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
74.2%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
62.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.3%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify272.0ms (4.4%)

Memory
-36.3MiB live, 123.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 x x))
cost-diff0
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
cost-diff128
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Rules
4 036×lower-fma.f32
4 032×lower-fma.f64
2 612×lower-*.f32
2 598×lower-*.f64
1 596×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
038143
168141
2120141
3261141
4503141
5720141
61270141
72863141
84411141
95411141
105880141
116207141
126331141
136362141
146724141
157026141
167164141
177196141
187204141
197204141
207588140
08173137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
#s(literal -9 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)

localize110.0ms (1.8%)

Memory
21.5MiB live, 137.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 x x))
accuracy0.16207755115753777
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
accuracy1.22646922033102
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy0.1171875
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy0.12109375
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy0.6454561444191735
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
accuracy0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy0
(*.f64 x x)
accuracy0.1328125
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.1328125
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy32.61801844877732
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy0.109375
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy0.12109375
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
Samples
41.0ms227×0valid
5.0ms19×1valid
4.0ms10×2valid
Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (47.9% of total)
ival-div: 8.0ms (27.4% of total)
ival-add: 4.0ms (13.7% of total)
adjust: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
exact: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 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 3 (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 2/9 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt -9 (taylor 0 x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 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 (* -2 x) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (+ -9 (* 4 (* x x))) (* (+ -9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)))
2.0ms
x
@0
((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (+ -9 (* 4 (* x x))) (* (+ -9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)))
2.0ms
x
@-inf
((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (+ -9 (* 4 (* x x))) (* (+ -9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)))

simplify188.0ms (3%)

Memory
-2.9MiB live, 115.4MiB allocated
Algorithm
egg-herbie
Rules
6 896×lower-fma.f64
6 896×lower-fma.f32
3 170×lower-*.f64
3 170×lower-*.f32
1 468×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0901078
12241078
25541072
313581072
431781068
559281068
08146972
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(/ 1/3 x)
(/ (+ 1/3 (* 2/9 x)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
-9
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

rewrite287.0ms (4.6%)

Memory
10.3MiB live, 356.2MiB allocated
Rules
8 922×lower-fma.f32
8 918×lower-fma.f64
5 108×lower-*.f32
5 094×lower-*.f64
3 562×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024104
03894
113892
291592
0902690
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 827
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -9 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(+.f64 (*.f64 #s(literal -9 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(+.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal -9 binary64)))
(+.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal -9 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

eval756.0ms (12.2%)

Memory
19.8MiB live, 687.4MiB allocated
Compiler

Compiled 52 373 to 3 159 computations (94% saved)

prune87.0ms (1.4%)

Memory
-10.1MiB live, 149.8MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New2 424102 434
Fresh404
Picked235
Done000
Total2 430132 443
Accuracy
100.0%
Counts
2 443 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
48.1%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
99.7%
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
62.0%
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
74.2%
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
99.8%
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
62.1%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
74.2%
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
62.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.3%
#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 206 to 161 computations (21.8% saved)

simplify163.0ms (2.6%)

Memory
-8.1MiB live, 70.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
cost-diff0
(*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
cost-diff320
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
Rules
1 720×lower-fma.f32
1 716×lower-fma.f64
1 416×lower-*.f32
1 398×lower-*.f64
526×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037210
053210
188208
2129208
3185208
4267208
5368208
6577208
71090208
81552208
91703208
102367208
113056208
123739208
133976208
144011208
154030208
164043208
174201208
184262208
194262208
204266208
04266195
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) x))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) x) x)
#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)

localize85.0ms (1.4%)

Memory
15.3MiB live, 126.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 x x))
accuracy0.16207755115753777
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
accuracy1.22646922033102
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy30.70788815922155
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.16207755115753777
(*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
accuracy1.22646922033102
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
accuracy32.97451640477977
#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
accuracy0.1171875
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.3828125
(/.f64 #s(literal 1/3 binary64) x)
accuracy31.67645431780799
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.109375
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy0.12109375
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
accuracy32.61801844877732
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy0.06640625
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
accuracy0.109375
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
Samples
55.0ms227×0valid
7.0ms12×2valid
5.0ms17×1valid
Compiler

Compiled 180 to 32 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 28.0ms (57.8% of total)
ival-div: 7.0ms (14.4% of total)
ival-add: 7.0ms (14.4% of total)
const: 4.0ms (8.3% of total)
adjust: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (patch (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal -2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (patch #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (patch (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (patch (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (patch (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) (patch (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) (patch (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -2 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 2/9 x)) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (pow x 2)) 9)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (pow x 2)) 9)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 4 (pow x 2)) 9)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -9 (taylor 0 x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (patch #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (patch #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (patch #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (patch #s(approx (+ -9 (* 4 (* x x))) #s(literal -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>) () ())) ())
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#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* x x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* 4 (* x x)))
2.0ms
x
@-inf
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* x x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* 4 (* x x)))
2.0ms
x
@0
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* x x) (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))) (* 4 (* x x)))

simplify145.0ms (2.3%)

Memory
-66.7MiB live, 92.9MiB allocated
Algorithm
egg-herbie
Rules
6 896×lower-fma.f64
6 896×lower-fma.f32
3 170×lower-*.f64
3 170×lower-*.f32
1 468×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0901422
12241422
25551416
313561416
431561412
559121412
081351298
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(/ 1/3 x)
(/ (+ 1/3 (* 2/9 x)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
-9
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
-9
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
Outputs
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #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 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 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)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -9 (pow x 2))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(/ 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 x)
(/.f64 #s(literal 1/3 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 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)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(/ 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 x)
(/.f64 #s(literal 1/3 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 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)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))

rewrite266.0ms (4.3%)

Memory
4.2MiB live, 280.8MiB allocated
Rules
11 832×lower-fma.f32
11 828×lower-fma.f64
6 040×lower-*.f32
6 022×lower-*.f64
3 248×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037184
053184
1182182
21122182
09296169
Stop Event
iter limit
node limit
iter limit
Counts
18 → 475
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64))
(*.f64 x x)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
Outputs
(*.f64 (*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
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(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) x)
(*.f64 (neg.f64 (neg.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 (*.f64 (neg.f64 x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (neg.f64 x))
(*.f64 (neg.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (neg.f64 (*.f64 (neg.f64 x) x)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (neg.f64 (neg.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(*.f64 (*.f64 x x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 4 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 x (*.f64 #s(literal 4 binary64) x))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))

eval86.0ms (1.4%)

Memory
11.4MiB live, 204.9MiB allocated
Compiler

Compiled 12 069 to 1 373 computations (88.6% saved)

prune22.0ms (0.4%)

Memory
35.1MiB live, 73.1MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New7243727
Fresh235
Picked055
Done033
Total72614740
Accuracy
100.0%
Counts
740 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.4%
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
72.2%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
48.1%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
99.7%
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
62.0%
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
74.2%
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
99.8%
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
74.2%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
62.1%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
62.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.3%
#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 214 to 151 computations (29.4% saved)

simplify168.0ms (2.7%)

Memory
-26.8MiB live, 127.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))
cost-diff256
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
cost-diff1792
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
cost-diff1088
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
cost-diff0
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
cost-diff1216
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
Rules
7 474×lower-fma.f32
7 466×lower-fma.f64
4 064×lower-*.f32
4 046×lower-*.f64
1 370×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044269
068264
1137261
2346246
31059238
42666238
55561238
08302237
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 4 binary64)
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)
Outputs
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
#s(literal -1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 4 binary64)
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -12 binary64)) x #s(literal 18 binary64)) x #s(literal 27 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal -3 binary64)

localize186.0ms (3%)

Memory
11.6MiB live, 321.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11291754138909578
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))
accuracy0.16207755115753777
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
accuracy25.550264479110997
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
accuracy30.70788815922155
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
accuracy0
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.1171875
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
accuracy0.22265625
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
accuracy0
(*.f64 x x)
accuracy0.1171875
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy0.5907686444191736
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy30.39736131075111
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy0
(*.f64 #s(literal -2 binary64) x)
accuracy0.109375
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy0.12109375
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy30.472155960288813
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy0
(neg.f64 x)
accuracy0.109375
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
accuracy0.1875
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy0.19623677520021943
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
Samples
95.0ms217×0valid
32.0ms18×2valid
31.0ms21×1valid
Compiler

Compiled 238 to 43 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-div: 69.0ms (50.2% of total)
ival-add: 34.0ms (24.7% of total)
ival-mult: 26.0ms (18.9% of total)
adjust: 3.0ms (2.2% of total)
ival-neg: 3.0ms (2.2% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (patch (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 x) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2/9 x) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -4/27 x) 2/9)) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -8/81 x) 4/27)) 2/9)) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) (patch (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) (patch (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 2/9 x)) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 16 (pow x 6)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (patch (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 16 (* 72 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (patch (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (patch (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (patch (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (patch #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (neg x) (/ -1 (+ (* x -2) 3))) (* (/ (neg x) (/ -1 (+ (* x -2) 3))) x) (neg x) (/ -1 (+ (* x -2) 3)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (/ (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3))) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3)) (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))))
3.0ms
x
@0
((/ (neg x) (/ -1 (+ (* x -2) 3))) (* (/ (neg x) (/ -1 (+ (* x -2) 3))) x) (neg x) (/ -1 (+ (* x -2) 3)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (/ (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3))) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3)) (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))))
2.0ms
x
@-inf
((/ (neg x) (/ -1 (+ (* x -2) 3))) (* (/ (neg x) (/ -1 (+ (* x -2) 3))) x) (neg x) (/ -1 (+ (* x -2) 3)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (/ (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3))) (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3)) (* (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* (* x x) 4) -9)) (* (+ -9 (* 4 (* x x))) (* x x)) (+ -9 (* 4 (* x x))))

simplify199.0ms (3.2%)

Memory
-18.5MiB live, 225.3MiB allocated
Algorithm
egg-herbie
Rules
10 728×lower-fma.f64
10 728×lower-fma.f32
4 662×lower-*.f64
4 662×lower-*.f32
3 090×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961776
15001769
213261753
336111740
087111611
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1/3
(- (* -2/9 x) 1/3)
(- (* x (- (* -4/27 x) 2/9)) 1/3)
(- (* x (- (* x (- (* -8/81 x) 4/27)) 2/9)) 1/3)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(/ 1/3 x)
(/ (+ 1/3 (* 2/9 x)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(/ 1/3 x)
(/ (+ 1/3 (* 2/9 x)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
-3
(- (* 2 x) 3)
(- (* 2 x) 3)
(- (* 2 x) 3)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
27
(+ 27 (* 18 x))
(+ 27 (* x (+ 18 (* -12 x))))
(+ 27 (* x (+ 18 (* x (- (* -8 x) 12)))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* -72 (pow x 2))))
(* (pow x 2) (+ 81 (* (pow x 2) (- (* 16 (pow x 2)) 72))))
(* (pow x 2) (+ 81 (* (pow x 2) (- (* 16 (pow x 2)) 72))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
(* (pow x 2) (- (* 4 (pow x 2)) 9))
-9
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 (/ 1 x))) x)
(/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)
(/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (+ (* 27/16 (/ 1 (pow x 3))) (/ 9/8 (pow x 2))))) x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* x (- 2 (* 3 (/ 1 x))))
(* x (- 2 (* 3 (/ 1 x))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (+ 8 (* 12 (/ 1 x)))))
(* (pow x 3) (- (/ 18 (pow x 2)) (+ 8 (* 12 (/ 1 x)))))
(* (pow x 3) (- (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2))) (+ 8 (* 12 (/ 1 x)))))
(* 16 (pow x 6))
(* (pow x 6) (- 16 (* 72 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) x))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 x)
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (+ 8 (* 12 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- (* 18 (/ 1 x)) 12) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- (+ (* 18 (/ 1 x)) (/ 27 (pow x 2))) 12) x)))))
(* 16 (pow x 6))
(* (pow x 6) (- 16 (* 72 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
Outputs
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-1/3
#s(literal -1/3 binary64)
(- (* -2/9 x) 1/3)
(fma.f64 #s(literal -2/9 binary64) x #s(literal -1/3 binary64))
(- (* x (- (* -4/27 x) 2/9)) 1/3)
(fma.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal -2/9 binary64)) x #s(literal -1/3 binary64))
(- (* x (- (* x (- (* -8/81 x) 4/27)) 2/9)) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/81 binary64) x #s(literal -4/27 binary64)) x #s(literal -2/9 binary64)) x #s(literal -1/3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
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(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -8 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (+ 8 (* 12 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -12 binary64)) x) x)
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- (* 18 (/ 1 x)) 12) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- (+ (* 18 (/ 1 x)) (/ 27 (pow x 2))) 12) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 #s(literal 18 binary64) x)) #s(literal 12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 16 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16 binary64))
(* (pow x 6) (- 16 (* 72 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 72 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64)) (/.f64 #s(literal 72 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 16 (/ 81 (pow x 4))) (* 72 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64)) (/.f64 #s(literal 72 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))

rewrite297.0ms (4.8%)

Memory
-4.5MiB live, 419.7MiB allocated
Rules
6 338×lower-fma.f32
6 330×lower-fma.f64
4 178×lower-/.f32
4 162×lower-/.f64
3 460×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044230
068225
1289206
22092199
08444199
Stop Event
iter limit
node limit
iter limit
Counts
21 → 947
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x)) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) x)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 81 binary64)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 81 binary64)) (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal -36 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (+.f64 (pow.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)))))
(neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x)) x (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -9 binary64) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 x x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x)) x (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 x x) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 #s(literal 4 binary64) x)) x (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x x) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) x) (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) (*.f64 x #s(literal -9 binary64)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 #s(literal -9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -9 binary64)) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(fma.f64 x (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 9 binary64) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) x)
(*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(*.f64 x (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x))
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))

eval292.0ms (4.7%)

Memory
-2.7MiB live, 329.1MiB allocated
Compiler

Compiled 39 711 to 3 338 computations (91.6% saved)

prune36.0ms (0.6%)

Memory
-2.7MiB live, 112.3MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New1 32251 327
Fresh011
Picked325
Done178
Total1 326151 341
Accuracy
100.0%
Counts
1 341 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x))
20.8%
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #s(approx (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3)) (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -12 binary64)) x) x)))
72.2%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
48.1%
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
74.2%
(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
74.2%
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
99.8%
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
74.2%
(*.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x))) x)
62.1%
(*.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x -2) 3)) #s(literal -1/3 binary64))) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
74.2%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
62.1%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
62.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.3%
#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 445 to 217 computations (51.2% saved)

regimes32.0ms (0.5%)

Memory
-3.0MiB live, 39.5MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x -2) 3)) #s(literal -1/3 binary64))) x)
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x -2) 3)) (/.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 x #s(approx (/ (/ -1 x) (+ (* 2 x) -3)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x)
(/.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #s(approx (* (+ (* (* x x) 4) -9) (+ (* -2 x) -3)) (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal -12 binary64)) x) x)))
(/.f64 (*.f64 (*.f64 #s(approx (+ -9 (* 4 (* x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* (+ -9 (* 4 (* x x))) (* x x)) (+ (* -2 x) -3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Calls

2 calls:

8.0ms
x
7.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
97.6%3x
97.6%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
Outputs
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
Calls

2 calls:

2.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
62.1%1x
62.1%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
62.0%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
62.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.225699009213586
3284784.7205944294
0.0ms
-2.2300378048629745e+35
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify56.0ms (0.9%)

Memory
12.3MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02691
14091
25291
35891
46291
56391
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (*.f64 x x)) (if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (*.f64 x x))))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (*.f64 x x))

soundness833.0ms (13.4%)

Memory
-31.2MiB live, 412.4MiB allocated
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
9 334×lower-fma.f64
9 334×lower-fma.f32
8 922×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3493220
41143220
52033220
62896220
73653220
85407220
96071220
106439220
08223202
024104
03894
113892
291592
0902690
0720
01120
13520
221920
3175920
0851618
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 138 to 68 computations (50.7% saved)

preprocess64.0ms (1%)

Memory
12.3MiB live, 85.7MiB allocated
Compiler

Compiled 168 to 76 computations (54.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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