Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 9 computations (18.2% saved)

sample567.0ms (6.5%)

Memory
24.3MiB live, 927.6MiB allocated
Samples
350.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult: 161.0ms (73.8% of total)
ival-sub: 43.0ms (19.7% of total)
exact: 7.0ms (3.2% of total)
ival-true: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain78.0ms (0.9%)

Memory
-31.3MiB live, 112.9MiB 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
33.0ms512×0valid
Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (71.9% of total)
ival-sub: 2.0ms (16% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (0.7%)

Memory
27.2MiB live, 65.1MiB 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 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune19.0ms (0.2%)

Memory
-35.4MiB live, 3.1MiB 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 10 to 7 computations (30% saved)

simplify34.0ms (0.4%)

Memory
32.5MiB live, 32.5MiB 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 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize29.0ms (0.3%)

Memory
-9.0MiB live, 30.6MiB 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))
accuracy0.1171875
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
22.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (79.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x x)
0.0ms
x
@inf
(- 3 (* x 2))
0.0ms
x
@0
(* (* x x) (- 3 (* x 2)))
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@-inf
(* (* x x) (- 3 (* x 2)))

simplify521.0ms (6%)

Memory
7.5MiB live, 556.2MiB 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
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 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 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
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)
(* 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 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))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite595.0ms (6.8%)

Memory
1.9MiB live, 597.2MiB 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 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
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(*.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval64.0ms (0.7%)

Memory
18.2MiB live, 90.9MiB allocated
Compiler

Compiled 10 134 to 956 computations (90.6% saved)

prune49.0ms (0.6%)

Memory
7.2MiB live, 123.1MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New32213335
Fresh000
Picked101
Done000
Total32313336
Accuracy
100.0%
Counts
336 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
99.8%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
99.7%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
73.3%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
56.2%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))))
61.4%
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
76.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
59.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
59.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 434 to 238 computations (45.2% saved)

simplify337.0ms (3.9%)

Memory
-28.9MiB live, 564.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
cost-diff128
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
cost-diff256
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
cost-diff320
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff640
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
Rules
8 900×lower-fma.f32
8 892×lower-fma.f64
4 352×lower-*.f32
4 322×lower-*.f64
2 472×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037238
062244
1129227
2282217
3893209
43187209
55222209
68000209
08334202
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
x
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(*.f64 x x)
x
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
#s(literal 81 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(*.f64 (*.f64 x x) #s(literal 16 binary64))
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
x
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
x
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64)))
(*.f64 x x)
x
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64)))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64))
#s(literal 81 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(*.f64 (*.f64 x x) #s(literal 16 binary64))
#s(literal 16 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64)))
#s(literal 1 binary64)
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize108.0ms (1.2%)

Memory
33.7MiB live, 265.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
accuracy0.171875
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
accuracy0.31919079985929444
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
accuracy24.00367004495628
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
accuracy0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy0.078125
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy0.125
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
accuracy0.21484375
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy0.078125
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy0.12109375
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.140625
(*.f64 x (*.f64 x #s(literal 3 binary64)))
accuracy25.664449228212284
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0.0625
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
accuracy0.09765625
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
Samples
61.0ms242×0valid
3.0ms1valid
2.0ms2valid
1.0ms5exit
Compiler

Compiled 252 to 39 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 33.0ms (67.5% of total)
ival-div: 7.0ms (14.3% of total)
ival-add: 4.0ms (8.2% of total)
ival-sub: 2.0ms (4.1% of total)
adjust: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-8.4MiB live, 34.2MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))>
#<alt #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)>
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))>
#<alt (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))>
#<alt (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))>
#<alt (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt 27>
#<alt (+ 27 (* 18 x))>
#<alt (+ 27 (* x (+ 18 (* 12 x))))>
#<alt (+ 27 (* x (+ 18 (* x (+ 12 (* 8 x))))))>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (+ 8 (* 12 (/ 1 x))))>
#<alt (* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 18 (pow x 2)))))>
#<alt (* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2))))))>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (+ 8 (* 12 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)))>
#<alt 81>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (* -16 (pow x 4))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* -16 (pow x 4))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt 1/27>
#<alt (+ 1/27 (* -2/81 x))>
#<alt (+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))>
#<alt (+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ x (/ 1 (* x (+ (* x -2) 3))))
1.0ms
x
@-inf
(* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))))
1.0ms
x
@0
(* (* x (+ (* x -2) 3)) x)
1.0ms
x
@inf
(* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))))
1.0ms
x
@0
(* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))))

simplify569.0ms (6.5%)

Memory
-47.4MiB live, 506.1MiB allocated
Algorithm
egg-herbie
Rules
9 956×lower-fma.f64
9 956×lower-fma.f32
4 210×lower-*.f64
4 210×lower-*.f32
3 466×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891477
15061477
213841467
338261464
085541359
Stop Event
iter limit
node limit
Counts
228 → 228
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)))
(* -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)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -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)))
(* -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)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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 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)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 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 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)))))
(/ 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 (/ (+ 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 (/ (+ 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))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
27
(+ 27 (* 18 x))
(+ 27 (* x (+ 18 (* 12 x))))
(+ 27 (* x (+ 18 (* x (+ 12 (* 8 x))))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 12 (/ 1 x))))
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 18 (pow x 2)))))
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2))))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 12 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)))
81
(+ 81 (* -16 (pow x 4)))
(+ 81 (* -16 (pow x 4)))
(+ 81 (* -16 (pow x 4)))
(* -16 (pow x 4))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* -16 (pow x 4))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* 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 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 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
1/27
(+ 1/27 (* -2/81 x))
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))
(/ 1/8 (pow x 3))
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))
(/ 1/8 (pow x 3))
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
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(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 81/128 binary64) (/.f64 #s(literal 243/256 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x)))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(* 16 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))

rewrite569.0ms (6.5%)

Memory
45.0MiB live, 744.7MiB allocated
Rules
9 370×lower-fma.f32
9 362×lower-fma.f64
4 314×lower-*.f32
4 284×lower-*.f64
3 776×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037187
062155
1221130
21610128
08459127
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 386
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) x) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) x) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) x) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x x)) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) x)) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(neg.f64 (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 x x)) x) #s(literal 81 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 x x)) x) #s(literal 81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 x x)) x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(*.f64 x (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x x))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) x)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 16 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 4 binary64))) x)
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x x))

eval318.0ms (3.7%)

Memory
20.4MiB live, 524.0MiB allocated
Compiler

Compiled 66 645 to 3 919 computations (94.1% saved)

prune204.0ms (2.3%)

Memory
2.6MiB live, 518.2MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 90291 911
Fresh358
Picked235
Done000
Total1 907171 924
Accuracy
100.0%
Counts
1 924 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
99.8%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
99.7%
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
59.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
69.9%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
59.4%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
75.9%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
76.0%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
73.3%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
61.1%
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
15.5%
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
59.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
59.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 461 to 272 computations (41% saved)

simplify569.0ms (6.5%)

Memory
-20.7MiB live, 828.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
cost-diff128
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
cost-diff0
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) 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
(*.f64 x x)
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Rules
22 454×lower-fma.f32
22 452×lower-fma.f64
3 766×lower-*.f32
3 748×lower-*.f64
1 876×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043252
060242
1126230
2273222
3709222
41888222
53131222
65532222
08121210
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(*.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 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
x
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 x x)
x
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
#s(literal 81 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(*.f64 (*.f64 x x) #s(literal 16 binary64))
#s(literal 16 binary64)
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))
Outputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
x
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 x x)
x
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
#s(literal 81 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 16 binary64)))))
(*.f64 (*.f64 x x) #s(literal 16 binary64))
(*.f64 x (*.f64 x #s(literal 16 binary64)))
#s(literal 16 binary64)
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/8 binary64)
(*.f64 x (*.f64 x x))

localize113.0ms (1.3%)

Memory
0.9MiB live, 189.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
accuracy0.36606579985929444
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
accuracy24.00367004495628
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
accuracy29.20138610360803
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))
accuracy0.078125
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))
accuracy0.125
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
accuracy0.21484375
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
accuracy34.02244953861889
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
accuracy0.125
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.359375
(/.f64 #s(literal 1/3 binary64) x)
accuracy33.231600810857856
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.11328125
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy34.02244953861889
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy0
(*.f64 x x)
accuracy0.11328125
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Samples
50.0ms242×0valid
3.0ms5exit
3.0ms1valid
2.0ms2valid
Compiler

Compiled 218 to 37 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 22.0ms (53.2% of total)
ival-div: 8.0ms (19.3% of total)
ival-add: 4.0ms (9.7% of total)
const: 3.0ms (7.3% of total)
ival-sub: 2.0ms (4.8% of total)
adjust: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))>
#<alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64))>
#<alt (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))>
#<alt #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))>
#<alt (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))>
#<alt #s(approx (+ (* x -2) 3) #s(literal 3 binary64))>
#<alt (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))>
#<alt (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))>
#<alt #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))>
#<alt (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt 81>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (+ 81 (* -16 (pow x 4)))>
#<alt (* -16 (pow x 4))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* -16 (pow x 4))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt 1/27>
#<alt (+ 1/27 (* -2/81 x))>
#<alt (+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))>
#<alt (+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ 1/8 (pow x 3))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
#<alt (* 16 (pow x 4))>
Calls

54 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1/8 (* x (* x x)))
0.0ms
x
@0
(/ 1/3 x)
0.0ms
x
@-inf
(/ 1/3 x)
0.0ms
x
@inf
(/ 1/3 x)
0.0ms
x
@inf
(/ 1/8 (* x (* x x)))

simplify488.0ms (5.6%)

Memory
-17.4MiB live, 472.2MiB allocated
Algorithm
egg-herbie
Rules
7 896×lower-fma.f64
7 896×lower-fma.f32
4 254×lower-*.f64
4 254×lower-*.f32
1 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451431
13731431
29941417
326231412
470211412
082561293
Stop Event
iter limit
node limit
Counts
216 → 216
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)))
(* -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)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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 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)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 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 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)))))
(/ 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 (/ (+ 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 (/ (+ 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)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 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)))
(* -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)))))
(/ 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 (/ (+ 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 (/ (+ 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))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
81
(+ 81 (* -16 (pow x 4)))
(+ 81 (* -16 (pow x 4)))
(+ 81 (* -16 (pow x 4)))
(* -16 (pow x 4))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* -16 (pow x 4))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(* 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 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)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
1/27
(+ 1/27 (* -2/81 x))
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))
(/ 1/8 (pow x 3))
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))
(/ 1/8 (pow x 3))
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(/ 1/8 (pow x 3))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
(* 16 (pow x 4))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
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))
(* -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 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
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))
(* -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 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))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (*.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.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)
(/ 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)
(/ 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 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (*.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
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))
(* -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 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))
81
#s(literal 81 binary64)
(+ 81 (* -16 (pow x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(+ 81 (* -16 (pow x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(+ 81 (* -16 (pow x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* -16 (pow x 4))
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* -16 (pow x 4))
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
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))
(* -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 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))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -2/81 x))
(fma.f64 x #s(literal -2/81 binary64) #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -32/6561 binary64) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x)))
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -243/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 81/128 binary64) (/.f64 #s(literal -243/256 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))
(* 16 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64)))

rewrite404.0ms (4.6%)

Memory
-0.7MiB live, 556.9MiB allocated
Rules
6 688×lower-fma.f32
6 686×lower-fma.f64
4 844×lower-*.f32
4 826×lower-*.f64
4 378×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043222
060214
1231194
21532194
08534185
Stop Event
iter limit
node limit
iter limit
Counts
18 → 534
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))
#s(approx (+ (* x -2) 3) #s(literal 3 binary64))
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
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(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x x))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 16 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) x)
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x x))

eval101.0ms (1.2%)

Memory
38.1MiB live, 254.6MiB allocated
Compiler

Compiled 19 412 to 1 948 computations (90% saved)

prune101.0ms (1.2%)

Memory
-17.6MiB live, 228.2MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New8873890
Fresh279
Picked145
Done033
Total89017907
Accuracy
100.0%
Counts
907 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
99.8%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
69.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
99.7%
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
59.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
69.9%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
59.4%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
75.9%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
76.0%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
73.3%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
16.0%
(*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
59.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
59.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 417 to 238 computations (42.9% saved)

simplify250.0ms (2.9%)

Memory
9.0MiB live, 394.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))
cost-diff320
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
cost-diff384
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #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 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))
Rules
7 328×lower-fma.f32
7 318×lower-fma.f64
2 692×lower-*.f32
2 668×lower-*.f64
1 856×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038253
065233
1122229
2286229
3806225
42300225
52977225
63885225
74695225
84782225
94788225
104788225
08215221
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 x x)
x
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
x
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
x
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
x
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x x) #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
x
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
x
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 9 binary64)

localize251.0ms (2.9%)

Memory
-33.0MiB live, 280.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy0.12890625
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
accuracy0.34408242887330953
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))
accuracy23.887042531662786
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
accuracy0.08203125
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy0.125
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy0.2798139466158484
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
accuracy0.4051282917144621
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
accuracy0
(*.f64 x x)
accuracy0.12890625
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy0.14453125
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy28.718560393207305
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy0.08203125
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
accuracy0.125
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
accuracy28.703329995498176
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0.08203125
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))
accuracy0.125
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
Samples
64.0ms241×0valid
12.0ms3valid
4.0ms2valid
3.0ms1valid
Compiler

Compiled 255 to 37 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 23.0ms (35.2% of total)
ival-div: 20.0ms (30.6% of total)
adjust: 13.0ms (19.9% of total)
ival-add: 9.0ms (13.8% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)>
#<alt (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))>
#<alt #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))>
#<alt #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))>
#<alt (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))>
#<alt (*.f64 x (*.f64 x x))>
Outputs
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 2/9 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt 9>
#<alt (+ 9 (* 6 x))>
#<alt (+ 9 (* x (+ 6 (* 4 x))))>
#<alt (+ 9 (* x (+ 6 (* 4 x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (/ 1/27 x)>
#<alt (/ (+ 1/27 (* 8/729 (pow x 3))) x)>
#<alt (/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x)>
#<alt (/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x)>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9))
1.0ms
x
@0
(/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9)))
1.0ms
x
@inf
(/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9)))
1.0ms
x
@-inf
(/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9)))
0.0ms
x
@0
(/ -1/2 (* x x))

simplify379.0ms (4.3%)

Memory
5.7MiB live, 443.7MiB allocated
Algorithm
egg-herbie
Rules
6 776×lower-fma.f64
6 776×lower-fma.f32
3 856×lower-*.f64
3 856×lower-*.f32
2 052×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671724
14221712
211551688
329211684
462881684
083831555
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 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 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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 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)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 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 x)
(* -2 x)
(* -2 x)
(* -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)))
(* -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)))))
(/ 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 (/ (+ 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 (/ (+ 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))
(/ -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))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (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)))
(* -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)))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 2/9 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))
(* 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 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)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 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 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)))))
(/ 1/3 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 (/ (+ 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 (/ (+ 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))
9
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
(+ 9 (* x (+ 6 (* 4 x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(/ 1/27 x)
(/ (+ 1/27 (* 8/729 (pow x 3))) x)
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x)
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x)
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))
(/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))
(/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
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))
(* -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 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 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 2/9 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ -1/2 (pow x 3))
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
(/ -1/2 (pow x 3))
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x))
9
#s(literal 9 binary64)
(+ 9 (* 6 x))
(fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(/ 1/27 x)
(/.f64 #s(literal 1/27 binary64) x)
(/ (+ 1/27 (* 8/729 (pow x 3))) x)
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 8/729 binary64))) #s(literal 1/27 binary64)) x)
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 64/19683 binary64) #s(literal 8/729 binary64)) #s(literal 1/27 binary64)) x)
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 512/531441 binary64)) #s(literal 64/19683 binary64)) #s(literal 8/729 binary64)) #s(literal 1/27 binary64)) x)
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -27/64 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -729/512 binary64) (/.f64 #s(literal -19683/4096 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 27/64 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -27/64 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 19683/4096 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

rewrite390.0ms (4.5%)

Memory
-15.2MiB live, 621.9MiB allocated
Rules
5 638×lower-fma.f32
5 628×lower-fma.f64
3 964×lower-*.f32
3 940×lower-*.f64
3 560×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038200
065158
1229156
21526156
08625156
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 217
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 x x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))
(*.f64 x (*.f64 x x))
Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (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)) (*.f64 x (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)) (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64)))) (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (fma.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 81 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))
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(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64))) (neg.f64 x))
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(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))))
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(*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal -729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval211.0ms (2.4%)

Memory
30.1MiB live, 333.2MiB allocated
Compiler

Compiled 40 049 to 3 030 computations (92.4% saved)

prune147.0ms (1.7%)

Memory
-9.5MiB live, 359.9MiB allocated
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New1 50741 511
Fresh235
Picked235
Done077
Total1 511171 528
Accuracy
100.0%
Counts
1 528 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
99.8%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
69.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
99.7%
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
59.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
25.1%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) #s(approx (+ (* (* x 2) (+ (* x 2) 3)) 9) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
59.4%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
75.9%
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
76.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
76.0%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
16.0%
(*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
59.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
59.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 705 to 269 computations (61.8% saved)

regimes18.0ms (0.2%)

Memory
7.7MiB live, 45.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) #s(approx (+ (* (* x 2) (+ (* x 2) 3)) 9) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
Calls

2 calls:

9.0ms
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 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))
Outputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Calls

2 calls:

3.0ms
x
3.0ms
(*.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 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-30.3MiB live, 10.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
2.0ms
x
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 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
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
97.9%3x
97.9%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.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
59.5%1x
59.5%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
-29.2MiB live, 8.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
1.0ms
x
Results
AccuracySegmentsBranch
59.5%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
59.5%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.148526997147443e-7
1.6975945295148306e+27
0.0ms
-446273736833986.75
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035115
152115
264115
370115
474115
575115
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 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 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 #s(literal 3 binary64) x)))

soundness1.0s (11.6%)

Memory
11.6MiB live, 387.8MiB allocated
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
9 334×lower-fma.f64
9 334×lower-fma.f32
4 144×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
0720
01120
13520
221920
3175920
0851618
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 184 to 77 computations (58.2% saved)

preprocess94.0ms (1.1%)

Memory
-19.1MiB live, 172.1MiB allocated
Compiler

Compiled 214 to 80 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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