ENA, Section 1.4, Exercise 4b, n=5

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.6s (14.8%)

Memory
-120.4MiB live, 1 378.8MiB allocated
Samples
678.0ms6 695×0valid
220.0ms1 269×1valid
77.0ms292×2valid
Precisions
Click to see histograms. Total time spent on operations: 738.0ms
ival-pow: 376.0ms (51% of total)
ival-<=: 141.0ms (19.1% of total)
ival-add: 67.0ms (9.1% of total)
ival-sub: 59.0ms (8% of total)
adjust: 53.0ms (7.2% of total)
ival-and: 20.0ms (2.7% of total)
exact: 18.0ms (2.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain99.0ms (0.9%)

Memory
8.4MiB live, 178.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
451(-6.090092166706184e-26 -5.822128807217057e-223)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))cancellation460
Confusion
Predicted +Predicted -
+450
-1210
Precision
0.9782608695652174
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4500
-10210
Precision?
0.9782608695652174
Recall?
1.0
Freqs
test
numberfreq
0210
146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms384×0valid
17.0ms98×1valid
6.0ms30×2valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 20.0ms (57.3% of total)
ival-add: 7.0ms (20.1% of total)
adjust: 4.0ms (11.5% of total)
ival-sub: 3.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess169.0ms (1.6%)

Memory
-6.0MiB live, 33.0MiB allocated
Algorithm
egg-herbie
Rules
120×sub-neg
84×unsub-neg
80×lower-fma.f64
80×lower-fma.f32
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951
13949
28747
316347
429047
542547
651447
755847
860347
961847
1062647
079
0119
1149
2199
3259
4339
5489
6819
71069
81499
91649
101729
01729
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 5 binary64))
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff0
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11423
21923
32523
43323
54823
68123
710623
814923
916423
1017223
017223
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

localize83.0ms (0.8%)

Memory
7.5MiB live, 46.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.04062009254663357
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy9.387780700954657
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
65.0ms192×0valid
8.0ms49×1valid
3.0ms15×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-pow: 64.0ms (92.3% of total)
adjust: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-25.6MiB live, 16.1MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
22.0ms
x
@0
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
2.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))

simplify278.0ms (2.6%)

Memory
34.5MiB live, 263.8MiB allocated
Algorithm
egg-herbie
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451372
18171243
228551056
08390988
Stop Event
iter limit
node limit
Counts
84 → 78
Calls
Call 1
Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
x
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps (pow.f64 x #s(literal 5 binary64)))
x
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x))))) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x))))) (pow.f64 eps #s(literal 5 binary64)))
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 6 binary64) (*.f64 eps eps)))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 6 binary64) (*.f64 eps eps)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))))) (pow.f64 x #s(literal 4 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (/.f64 #s(literal 4 binary64) x) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 eps x) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
x
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

rewrite243.0ms (2.3%)

Memory
-24.6MiB live, 260.5MiB allocated
Rules
4 520×lower-*.f64
4 520×lower-*.f32
3 728×lower-fma.f64
3 728×lower-fma.f32
3 216×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15220
235020
3354520
0939420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 (neg.f64 eps) eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps)))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps))) (fma.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 eps x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 eps x)
(+.f64 x eps)
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5/4 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))

eval56.0ms (0.5%)

Memory
-2.9MiB live, 72.5MiB allocated
Compiler

Compiled 15 609 to 1 203 computations (92.3% saved)

prune67.0ms (0.6%)

Memory
10.5MiB live, 91.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New35010360
Fresh000
Picked101
Done000
Total35110361
Accuracy
99.9%
Counts
361 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
80.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
73.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
Compiler

Compiled 364 to 214 computations (41.2% saved)

simplify209.0ms (1.9%)

Memory
2.9MiB live, 188.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
cost-diff192
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps)
cost-diff320
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
cost-diff0
(/.f64 x eps)
cost-diff0
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
cost-diff320
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
cost-diff512
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
Rules
20 792×lower-fma.f32
20 780×lower-fma.f64
5 140×lower-+.f32
5 138×lower-+.f64
3 054×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039407
068407
1112378
2217371
3476365
41036360
52184360
64754360
75411360
85652360
95695360
105730360
115733360
126984360
08002350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
#s(literal 10 binary64)
(*.f64 x x)
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
(*.f64 #s(literal 5 binary64) x)
eps
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps)
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 #s(literal 4 binary64) eps)
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)
(*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x)
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x)
#s(literal 10 binary64)
(*.f64 x x)
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
(*.f64 #s(literal 5 binary64) x)
eps
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps)
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 #s(literal 4 binary64) eps)
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))

localize222.0ms (2.1%)

Memory
19.2MiB live, 222.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
accuracy0.125
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
accuracy12.464438682301465
(/.f64 (*.f64 eps eps) x)
accuracy0.10613251953688403
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
accuracy0.12109375
(*.f64 (*.f64 x x) x)
accuracy0.139003759768442
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
accuracy0
(/.f64 x eps)
accuracy0.1328125
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy0.390133187373872
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy10.162699665221497
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy10.300235184755625
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.1328125
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
accuracy0.139003759768442
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
accuracy0.15234375
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
accuracy8.79539782668017
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
Samples
56.0ms187×0valid
35.0ms17×2valid
29.0ms52×1valid
Compiler

Compiled 349 to 41 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-add: 33.0ms (35.4% of total)
ival-mult: 28.0ms (30.1% of total)
ival-pow: 19.0ms (20.4% of total)
adjust: 7.0ms (7.5% of total)
ival-div: 4.0ms (4.3% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory
-16.1MiB live, 72.9MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())
Outputs
#s(alt (* 10 (pow x 3)) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
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#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
34.0ms
eps
@inf
((+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (pow x 4) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (* 5 x) eps) (* (* (* x x) x) 10) (* (* x x) x) (/ (* eps eps) x))
6.0ms
x
@0
((+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (pow x 4) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (* 5 x) eps) (* (* (* x x) x) 10) (* (* x x) x) (/ (* eps eps) x))
5.0ms
eps
@0
((+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (pow x 4) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (* 5 x) eps) (* (* (* x x) x) 10) (* (* x x) x) (/ (* eps eps) x))
5.0ms
x
@-inf
((+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (pow x 4) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (* 5 x) eps) (* (* (* x x) x) 10) (* (* x x) x) (/ (* eps eps) x))
4.0ms
x
@inf
((+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (pow x 4) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (* 5 x) eps) (* (* (* x x) x) 10) (* (* x x) x) (/ (* eps eps) x))

simplify228.0ms (2.1%)

Memory
-0.7MiB live, 151.0MiB allocated
Algorithm
egg-herbie
Rules
13 260×lower-fma.f64
13 260×lower-fma.f32
5 150×lower-*.f64
5 150×lower-*.f32
3 538×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04026902
114156384
247935448
375595448
080545141
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 4 eps)
(* eps (+ 4 (* 10 (/ eps x))))
(* eps (+ 4 (* 10 (/ eps x))))
(* eps (+ 4 (* 10 (/ eps x))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (* eps x))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (/ (pow eps 2) x))
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (/ (pow eps 2) x))
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 4 eps)
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ eps (* 4 eps))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 4 eps)
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(+ eps (* 4 eps))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
Outputs
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) x)
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) (+.f64 eps x))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)
(* 10 (pow x 2))
(*.f64 (*.f64 x #s(literal 10 binary64)) x)
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x)
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x)
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (/ x eps))
(*.f64 (/.f64 x eps) #s(literal 5 binary64))
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* 5 (pow x 4))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))
(* 4 eps)
(*.f64 #s(literal 4 binary64) eps)
(* eps (+ 4 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(* eps (+ 4 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(* eps (+ 4 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(* 5 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) x)
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) eps)
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (fma.f64 x (/.f64 x eps) x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (fma.f64 x (/.f64 x eps) x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps)
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps)
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)))))) (pow.f64 eps #s(literal 5 binary64)))
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
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(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (fma.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (/ x eps))
(*.f64 (/.f64 x eps) #s(literal 5 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (pow x 4))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(* 4 eps)
(*.f64 #s(literal 4 binary64) eps)
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(+ (* 4 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps)
(+ eps (* 4 eps))
(*.f64 #s(literal 5 binary64) eps)
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)
(/ (pow eps 2) x)
(*.f64 (/.f64 eps x) eps)

rewrite275.0ms (2.6%)

Memory
0.1MiB live, 228.7MiB allocated
Rules
6 594×lower-fma.f32
6 582×lower-fma.f64
4 458×lower-*.f32
4 432×lower-*.f64
3 934×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039295
068279
1250276
21838276
08565273
Stop Event
iter limit
node limit
iter limit
Counts
22 → 452
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
(/.f64 (*.f64 eps eps) x)
Outputs
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 25 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))) eps) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)))
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(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps))
(fma.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)))
(fma.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps))
(+.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)))
(+.f64 (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))
(pow.f64 eps #s(literal 5 binary64))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
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(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
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eval116.0ms (1.1%)

Memory
30.2MiB live, 184.3MiB allocated
Compiler

Compiled 32 035 to 2 134 computations (93.3% saved)

prune270.0ms (2.5%)

Memory
-11.1MiB live, 206.6MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1 016201 036
Fresh235
Picked415
Done000
Total1 022241 046
Accuracy
100.0%
Counts
1 046 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
80.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
77.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
39.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64))))
73.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
Compiler

Compiled 950 to 504 computations (46.9% saved)

simplify168.0ms (1.6%)

Memory
-4.2MiB live, 187.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))
cost-diff0
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
cost-diff320
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))
cost-diff704
(*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
cost-diff704
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)
cost-diff0
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
cost-diff320
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))
Rules
15 278×lower-fma.f32
15 270×lower-fma.f64
4 272×lower-*.f32
4 236×lower-*.f64
2 704×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066650
097654
1183589
2375556
3902544
42556540
54536533
64778533
77095533
87822533
08019523
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
(+.f64 eps x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 x x)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(/.f64 eps x)
eps
x
#s(literal 10 binary64)
#s(literal 5 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps #s(literal 10 binary64))
eps
#s(literal 10 binary64)
(/.f64 eps x)
x
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps)
(*.f64 eps #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
(+.f64 eps x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)))
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 x x)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x)
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(/.f64 eps x)
eps
x
#s(literal 10 binary64)
#s(literal 5 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) (*.f64 eps x)))
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps)
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(*.f64 eps #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) eps)
eps
#s(literal 10 binary64)
(/.f64 eps x)
x
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
x
#s(literal 4 binary64)

localize474.0ms (4.4%)

Memory
14.7MiB live, 212.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 5 binary64) eps)
accuracy0.08203125
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
accuracy28.860271111272464
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))
accuracy0.05859375
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
accuracy0.2421875
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))
accuracy2.5977450297184213
(*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
accuracy0.109375
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
accuracy0.12109375
(*.f64 (*.f64 x x) x)
accuracy0.4715351829148444
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
accuracy0.1171875
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
accuracy0.1640625
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
accuracy2.0630964678799018
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
accuracy0.1015625
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))
accuracy0.12109375
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))
accuracy0.1640625
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
accuracy8.79539782668017
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
Samples
230.0ms52×1valid
165.0ms187×0valid
44.0ms17×2valid
Compiler

Compiled 418 to 58 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 411.0ms
ival-mult: 301.0ms (73.2% of total)
ival-pow: 80.0ms (19.4% of total)
ival-add: 15.0ms (3.6% of total)
adjust: 9.0ms (2.2% of total)
ival-div: 4.0ms (1% of total)
ival-sub: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.7%)

Memory
-38.6MiB live, 92.9MiB allocated
Counts
26 → 552
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) (patch #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) (patch #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (patch #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (patch (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (patch #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (patch (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) (patch (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 5 binary64) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())
Outputs
#s(alt (* 5 (* eps (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) #<representation binary64>) () ())) ())
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#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ eps (* 4 eps)) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (patch #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ())) ())
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#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 5 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 5 binary64) x) x) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt 5 (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
eps
@0
((+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (* (+ (* (+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) x) (* (pow eps 4) 5)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (* (* 5 x) x) (* x x)) (* (+ (* (/ eps x) 10) 5) (* (* (* x x) x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (* (* eps 10) eps) (* (* (* eps 10) eps) (+ eps x)) (* (* 5 x) x) (* (* x x) x) (+ (* (/ eps x) 10) 5) (* 5 eps))
4.0ms
eps
@-inf
((+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (* (+ (* (+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) x) (* (pow eps 4) 5)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (* (* 5 x) x) (* x x)) (* (+ (* (/ eps x) 10) 5) (* (* (* x x) x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (* (* eps 10) eps) (* (* (* eps 10) eps) (+ eps x)) (* (* 5 x) x) (* (* x x) x) (+ (* (/ eps x) 10) 5) (* 5 eps))
4.0ms
x
@-inf
((+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (* (+ (* (+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) x) (* (pow eps 4) 5)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (* (* 5 x) x) (* x x)) (* (+ (* (/ eps x) 10) 5) (* (* (* x x) x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (* (* eps 10) eps) (* (* (* eps 10) eps) (+ eps x)) (* (* 5 x) x) (* (* x x) x) (+ (* (/ eps x) 10) 5) (* 5 eps))
4.0ms
x
@inf
((+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (* (+ (* (+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) x) (* (pow eps 4) 5)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (* (* 5 x) x) (* x x)) (* (+ (* (/ eps x) 10) 5) (* (* (* x x) x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (* (* eps 10) eps) (* (* (* eps 10) eps) (+ eps x)) (* (* 5 x) x) (* (* x x) x) (+ (* (/ eps x) 10) 5) (* 5 eps))
3.0ms
eps
@inf
((+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (* (+ (* (+ (* (* 5 eps) (* x x)) (* (* (* eps 10) eps) (+ eps x))) x) (* (pow eps 4) 5)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (* (* 5 x) x) (* x x)) (* (+ (* (/ eps x) 10) 5) (* (* (* x x) x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (* (* eps 10) eps) (* (* (* eps 10) eps) (+ eps x)) (* (* 5 x) x) (* (* x x) x) (+ (* (/ eps x) 10) 5) (* 5 eps))

simplify207.0ms (1.9%)

Memory
30.7MiB live, 258.0MiB allocated
Algorithm
egg-herbie
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
5 798×lower-*.f64
5 798×lower-*.f32
3 232×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03749006
113238267
245136703
370336679
082946232
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* 10 (/ eps x))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* 10 (/ eps x))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x)
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 10 (/ eps x))
(/ (+ (* 5 x) (* 10 eps)) x)
(/ (+ (* 5 x) (* 10 eps)) x)
(/ (+ (* 5 x) (* 10 eps)) x)
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(+ eps (* 4 eps))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(+ eps (* 4 eps))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(* 10 (* (pow eps 2) x))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
Outputs
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps)
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
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(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 x eps))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))
(+ eps (* 4 eps))
(*.f64 eps #s(literal 5 binary64))
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x)
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x)
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x)
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
5
#s(literal 5 binary64)
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))

rewrite209.0ms (1.9%)

Memory
11.2MiB live, 216.2MiB allocated
Rules
4 822×lower-fma.f32
4 814×lower-fma.f64
4 776×lower-*.f32
4 740×lower-*.f64
3 292×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066556
097506
1370475
22775475
08144463
Stop Event
iter limit
node limit
iter limit
Counts
26 → 409
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 (*.f64 x x) x)
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) eps)
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x eps) x) (*.f64 (*.f64 x eps) x)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))))))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps))) (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x eps) x) (*.f64 (*.f64 x eps) x)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)))) (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 125 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))) (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 125 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x eps) x) (*.f64 (*.f64 x eps) x)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))) (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) (+.f64 x eps)) (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps)))))))
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eval274.0ms (2.5%)

Memory
-18.1MiB live, 248.8MiB allocated
Compiler

Compiled 27 271 to 1 826 computations (93.3% saved)

prune242.0ms (2.2%)

Memory
27.5MiB live, 466.6MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New997101 007
Fresh51318
Picked325
Done011
Total1 005261 031
Accuracy
100.0%
Counts
1 031 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
80.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
77.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
73.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
Compiler

Compiled 942 to 504 computations (46.5% saved)

simplify192.0ms (1.8%)

Memory
-39.4MiB live, 128.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
cost-diff320
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
cost-diff448
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
cost-diff512
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
cost-diff960
(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
cost-diff0
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
cost-diff0
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
cost-diff0
#s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
cost-diff0
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
cost-diff320
(fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))
cost-diff448
(fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)))
Rules
16 626×lower-fma.f32
16 614×lower-fma.f64
4 490×lower-*.f32
4 436×lower-*.f64
2 040×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070703
0112696
1208622
2418596
3874584
41665570
52579563
63839563
74342563
86804563
96941563
107011563
117070563
127185563
137419563
08142544
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)
(fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)))
(fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))
(*.f64 (+.f64 x eps) eps)
(+.f64 x eps)
x
eps
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)
(*.f64 (*.f64 x #s(literal 5 binary64)) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))
#s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(*.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 eps x)
eps
x
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
#s(literal 5 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 5 binary64)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
#s(literal 10 binary64)
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
eps
(*.f64 #s(literal 5 binary64) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) (*.f64 eps x))))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) (*.f64 eps x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) (*.f64 eps x))
(fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) eps)
(fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) eps)
(*.f64 (+.f64 x eps) eps)
(*.f64 (+.f64 eps x) eps)
(+.f64 x eps)
(+.f64 eps x)
x
eps
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64))
(*.f64 (*.f64 x #s(literal 5 binary64)) x)
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 5 binary64))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))
(*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))))
#s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(*.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) x) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) x) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
(*.f64 eps x)
eps
x
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) x) x))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) x) x)
(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))
#s(literal 5 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) (*.f64 eps x)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) (*.f64 eps x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps)) x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 5 binary64)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) (*.f64 eps x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x)
#s(literal 10 binary64)
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
eps
(*.f64 #s(literal 5 binary64) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))

localize369.0ms (3.4%)

Memory
26.8MiB live, 303.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
accuracy0.139003759768442
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
accuracy0.15234375
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
accuracy8.79539782668017
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
accuracy0.12109375
(*.f64 (*.f64 x x) x)
accuracy0.139003759768442
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
accuracy0.15691376953688402
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
accuracy0.0625
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
accuracy0.09765625
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)
accuracy0.2129288086106521
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
accuracy9.115013730529869
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
accuracy0.06604254138909577
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
accuracy0.0703125
(*.f64 (*.f64 eps eps) x)
accuracy8.924639809269564
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
accuracy16.021056952892256
#s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
accuracy0.09765625
(fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))
accuracy0.1640625
(*.f64 (*.f64 x #s(literal 5 binary64)) x)
accuracy0.209316259768442
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
accuracy8.79539782668017
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Samples
120.0ms192×0valid
64.0ms49×1valid
19.0ms15×2valid
Compiler

Compiled 521 to 66 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 96.0ms (59.2% of total)
ival-add: 40.0ms (24.7% of total)
ival-pow: 14.0ms (8.6% of total)
adjust: 7.0ms (4.3% of total)
ival-div: 2.0ms (1.2% of total)
ival-sub: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series254.0ms (2.4%)

Memory
14.1MiB live, 90.1MiB allocated
Counts
26 → 564
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) (patch (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) (patch #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (patch #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (patch (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (patch (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 5 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) x) (patch (*.f64 (*.f64 eps eps) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())
Outputs
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Calls

6 calls:

TimeVariablePointExpression
170.0ms
eps
@inf
((+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* (* (* eps eps) x) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* eps x) 5) x) (* x x)) (* (* (* eps x) 5) x) (* (* eps x) 5) (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) eps) (* (* x x) (* x x)) (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (+ (* (* x x) 10) (* eps (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (* 5 (* eps eps)) (* (* x 5) x) (* (* eps eps) x) (* (* (* x x) x) 10) (* (* x x) x) (* eps (* 5 x)))
8.0ms
eps
@0
((+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* (* (* eps eps) x) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* eps x) 5) x) (* x x)) (* (* (* eps x) 5) x) (* (* eps x) 5) (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) eps) (* (* x x) (* x x)) (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (+ (* (* x x) 10) (* eps (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (* 5 (* eps eps)) (* (* x 5) x) (* (* eps eps) x) (* (* (* x x) x) 10) (* (* x x) x) (* eps (* 5 x)))
5.0ms
x
@-inf
((+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* (* (* eps eps) x) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* eps x) 5) x) (* x x)) (* (* (* eps x) 5) x) (* (* eps x) 5) (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) eps) (* (* x x) (* x x)) (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (+ (* (* x x) 10) (* eps (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (* 5 (* eps eps)) (* (* x 5) x) (* (* eps eps) x) (* (* (* x x) x) 10) (* (* x x) x) (* eps (* 5 x)))
4.0ms
x
@inf
((+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* (* (* eps eps) x) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* eps x) 5) x) (* x x)) (* (* (* eps x) 5) x) (* (* eps x) 5) (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) eps) (* (* x x) (* x x)) (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (+ (* (* x x) 10) (* eps (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (* 5 (* eps eps)) (* (* x 5) x) (* (* eps eps) x) (* (* (* x x) x) 10) (* (* x x) x) (* eps (* 5 x)))
4.0ms
eps
@-inf
((+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (* (* (* eps eps) x) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* eps x) 5) x) (* x x)) (* (* (* eps x) 5) x) (* (* eps x) 5) (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (* (* x x) (* x x))) (* (* (* (* x x) x) 10) eps)) eps) (* (* x x) (* x x)) (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (+ (* (* x x) 10) (* eps (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (* 5 (* eps eps)) (* (* x 5) x) (* (* eps eps) x) (* (* (* x x) x) 10) (* (* x x) x) (* eps (* 5 x)))

simplify426.0ms (4%)

Memory
-53.3MiB live, 208.8MiB allocated
Algorithm
egg-herbie
Rules
13 902×lower-fma.f64
13 902×lower-fma.f32
5 914×lower-*.f64
5 914×lower-*.f32
4 296×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05097896
118407412
266527331
081786900
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 5 (* eps (pow x 3)))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))))
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))))
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -1 (/ (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps))))
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(* 5 (* eps x))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow eps 4))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 3) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* (pow x 3) (+ (* -5 eps) (* -1 (/ (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -5 eps) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))) x)))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
Outputs
(* 5 (* eps (pow x 3)))
(*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps)) eps)
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps)
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) x)) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) x (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) x))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) x) x)
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) x) x)
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) x) x)
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* 5 (* eps (pow x 2)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (pow x 4))
(*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(*.f64 (*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x)) x) (*.f64 (neg.f64 x) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(*.f64 (*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x)) x) (*.f64 (neg.f64 x) x))
(* 5 (pow x 4))
(*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) eps (/.f64 (fma.f64 (*.f64 eps (/.f64 (*.f64 eps eps) x)) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x))) x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 10 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x)
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x)
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x)
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) x)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* 5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(* 10 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
(* 5 (* eps x))
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)

rewrite294.0ms (2.7%)

Memory
3.7MiB live, 318.9MiB allocated
Rules
9 050×lower-fma.f32
9 038×lower-fma.f64
5 074×lower-*.f32
5 020×lower-*.f64
2 972×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070521
0112467
1398432
22202432
08409416
Stop Event
iter limit
node limit
iter limit
Counts
26 → 368
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)))
(fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x))
#s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps)
(*.f64 (*.f64 x x) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 (*.f64 x #s(literal 5 binary64)) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) x (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) x (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) x (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))) (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))))) (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)))) (neg.f64 (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x) (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) #s(literal 5 binary64)) (*.f64 eps x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)))) (neg.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x) (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) #s(literal 5 binary64)) (*.f64 eps x)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(fma.f64 (*.f64 #s(literal 10 binary64) x) x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 x (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))) (/.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
(*.f64 (*.f64 #s(literal 5 binary64) eps) eps)
(*.f64 (*.f64 eps eps) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) eps))
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 5 binary64) x))
(*.f64 (*.f64 eps x) eps)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 x (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) x))
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 5 binary64) x) eps)
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) eps) x)
(*.f64 #s(literal 5 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
(*.f64 x (*.f64 #s(literal 5 binary64) eps))

eval147.0ms (1.4%)

Memory
34.2MiB live, 261.4MiB allocated
Compiler

Compiled 35 049 to 1 890 computations (94.6% saved)

prune408.0ms (3.8%)

Memory
15.7MiB live, 487.3MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New97018988
Fresh9918
Picked415
Done123
Total984301 014
Accuracy
100.0%
Counts
1 014 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
80.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
77.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
73.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
71.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
86.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
Compiler

Compiled 1 693 to 577 computations (65.9% saved)

regimes55.0ms (0.5%)

Memory
-23.2MiB live, 89.4MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

18.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
17.0ms
eps
15.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
98.1%3eps
99.4%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes15.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
Calls

1 calls:

12.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.4%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes27.0ms (0.2%)

Memory
8.5MiB live, 46.8MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Calls

2 calls:

13.0ms
x
11.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.8%3x
98.3%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes20.0ms (0.2%)

Memory
-45.8MiB live, 26.6MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-12.9MiB live, 26.4MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes50.0ms (0.5%)

Memory
22.0MiB live, 61.0MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 (*.f64 eps eps) x) (*.f64 eps eps)) x) (*.f64 #s(literal -5 binary64) eps)) x)) (*.f64 x x))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Calls

3 calls:

26.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
11.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
86.2%1eps
86.2%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.2%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes85.0ms (0.8%)

Memory
-18.3MiB live, 60.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Calls

3 calls:

44.0ms
eps
31.0ms
x
8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.1%1eps
86.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.1%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes31.0ms (0.3%)

Memory
13.3MiB live, 50.9MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x)) eps)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
Calls

3 calls:

11.0ms
eps
10.0ms
x
8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.1%1x
86.1%1eps
86.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes60.0ms (0.6%)

Memory
-0.6MiB live, 38.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
Calls

3 calls:

40.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
9.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
86.1%1eps
86.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.1%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes29.0ms (0.3%)

Memory
16.0MiB live, 53.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64) (*.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x))) eps)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
Calls

3 calls:

9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
9.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
86.1%1eps
86.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.1%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes35.0ms (0.3%)

Memory
-24.8MiB live, 54.1MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) x) (*.f64 x x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
Calls

3 calls:

14.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
11.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
86.1%1x
86.1%1eps
86.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes19.0ms (0.2%)

Memory
-0.0MiB live, 37.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) x) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps) x) x))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
Calls

3 calls:

8.0ms
x
5.0ms
eps
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.0%1x
86.0%1eps
86.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes12.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
Calls

3 calls:

4.0ms
x
4.0ms
eps
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.0%1x
86.0%1eps
86.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes39.0ms (0.4%)

Memory
-21.1MiB live, 17.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
Calls

3 calls:

32.0ms
eps
4.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.7%1x
85.7%1eps
85.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes10.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
Calls

3 calls:

3.0ms
x
3.0ms
eps
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.7%1x
85.7%1eps
85.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
Calls

3 calls:

2.0ms
x
2.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.7%1x
85.7%1eps
85.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Accuracy

Total -9.4b remaining (-102.2%)

Threshold costs -9.4b (-102.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
Calls

3 calls:

1.0ms
eps
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.6%1x
85.6%1eps
85.6%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch30.0ms (0.3%)

Memory
-42.6MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.67e-322
29.0ms
-7.572710354576e-311
0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.67e-322
0.0ms
-7.572710354576e-311
0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch33.0ms (0.3%)

Memory
29.9MiB live, 64.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
3.0ms
3.1496067361447923e-64
5.891341454267897e-63
28.0ms
-5.31748937899278e-49
-2.4646461507867532e-52
Samples
18.0ms108×1valid
3.0ms52×0valid
Compiler

Compiled 414 to 240 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 11.0ms (67% of total)
adjust: 3.0ms (18.3% of total)
ival-add: 1.0ms (6.1% of total)
ival-sub: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
3.1496067361447923e-64
5.891341454267897e-63
1.0ms
-5.31748937899278e-49
-2.4646461507867532e-52
Compiler

Compiled 394 to 230 computations (41.6% saved)

bsearch20.0ms (0.2%)

Memory
9.1MiB live, 43.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
3.1496067361447923e-64
5.891341454267897e-63
18.0ms
-5.31748937899278e-49
-2.4646461507867532e-52
Samples
10.0ms63×1valid
1.0ms17×0valid
Compiler

Compiled 344 to 200 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 6.0ms (66.5% of total)
adjust: 2.0ms (22.2% of total)
ival-add: 1.0ms (11.1% of total)
ival-sub: 1.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify30.0ms (0.3%)

Memory
-6.3MiB live, 30.2MiB allocated
Algorithm
egg-herbie
Rules
108×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01801374
12411374
22601374
32721374
42791374
52811374
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))))
(if (<=.f64 x #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))))
(if (<=.f64 x #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))))
(if (<=.f64 x #s(literal -3909192266736843/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))))
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(if (<=.f64 x #s(literal -3909192266736843/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) x (*.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 eps eps))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) x (*.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) x (*.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 eps eps))) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x)) x (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) x) 5) (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* eps 10) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) eps)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (* (* x x) x) 10) eps)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (* (* x x) x) 10)) eps)) eps) (*.f64 #s(approx (+ (* (+ (* (* (+ x eps) eps) (* 10 eps)) (* (* (* x 5) x) eps)) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) x) x)) x)))

soundness2.3s (21%)

Memory
-28.7MiB live, 1 465.7MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
14 778×lower-fma.f64
14 778×lower-fma.f32
13 902×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05097896
118407412
266527331
081786900
0720
01120
15220
235020
3354520
0939420
070521
0112467
1398432
22202432
08409416
039295
068279
1250276
21838276
08565273
03749006
113238267
245136703
370336679
082946232
04026902
114156384
247935448
375595448
080545141
02451372
18171243
228551056
08390988
066556
097506
1370475
22775475
08144463
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 903 to 295 computations (67.3% saved)

preprocess94.0ms (0.9%)

Memory
21.5MiB live, 97.3MiB allocated
Compiler

Compiled 1 174 to 210 computations (82.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...