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

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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)

sample1.8s (15.5%)

Memory
33.2MiB live, 2 081.3MiB allocated
Samples
962.0ms6 695×0valid
350.0ms1 289×1valid
99.0ms272×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-pow: 720.0ms (64% of total)
ival-<=: 127.0ms (11.3% of total)
ival-add: 96.0ms (8.5% of total)
ival-sub: 87.0ms (7.7% of total)
adjust: 52.0ms (4.6% of total)
ival-and: 21.0ms (1.9% of total)
exact: 19.0ms (1.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain107.0ms (0.9%)

Memory
4.9MiB live, 173.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(-.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)))cancellation360
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms418×0valid
11.0ms74×1valid
6.0ms20×2valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 19.0ms (57.7% of total)
ival-add: 8.0ms (24.3% of total)
adjust: 3.0ms (9.1% of total)
ival-sub: 3.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess31.0ms (0.3%)

Memory
-8.8MiB live, 27.8MiB 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)))
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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(-.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)

simplify8.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB 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)))
(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))

localize40.0ms (0.4%)

Memory
-23.9MiB live, 51.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.024101269536884032
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy7.785203142748978
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
25.0ms209×0valid
5.0ms37×1valid
2.0ms10×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 9.0ms (42.7% of total)
ival-sub: 8.0ms (38% of total)
ival-add: 2.0ms (9.5% of total)
adjust: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB 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 (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 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 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 (* 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 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 (-.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 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 (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 (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 (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 (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 (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 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 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 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 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 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 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 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 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 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

21 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@-inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@0
(- (pow (+ x eps) 5) (pow x 5))
0.0ms
eps
@-inf
(- (pow (+ x eps) 5) (pow x 5))

simplify612.0ms (5.3%)

Memory
-119.6MiB live, 463.2MiB 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
228601056
08403988
Stop Event
iter limit
node limit
Counts
84 → 78
Calls
Call 1
Inputs
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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)
(+ (* 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 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)))))))))
(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)))
(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))
(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)
(* -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
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (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 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))))))
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (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))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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))))
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 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 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (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 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (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 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 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 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x 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)))))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x)))))))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 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 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) 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 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (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 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) 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 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 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))

rewrite258.0ms (2.2%)

Memory
48.4MiB live, 394.5MiB 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
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(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps 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 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x 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 #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) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x 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 (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)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.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 (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 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x)))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (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 (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 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))

eval50.0ms (0.4%)

Memory
-22.4MiB live, 98.0MiB allocated
Compiler

Compiled 15 609 to 1 219 computations (92.2% saved)

prune73.0ms (0.6%)

Memory
-31.8MiB live, 148.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3519360
Fresh000
Picked101
Done000
Total3529361
Accuracy
100.0%
Counts
361 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
85.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
84.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
84.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 320 to 190 computations (40.6% saved)

simplify512.0ms (4.5%)

Memory
39.9MiB live, 424.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))
cost-diff320
(fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))
cost-diff768
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
cost-diff448
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
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)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
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
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Rules
27 914×lower-fma.f32
27 910×lower-fma.f64
6 290×lower-*.f32
6 268×lower-*.f64
2 548×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040338
066312
1129310
2296292
3947288
43986285
08298274
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(/.f64 x eps)
x
#s(literal 1 binary64)
#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)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))
eps
#s(literal 5 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps eps))
#s(literal 10 binary64)
(neg.f64 x)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(/.f64 x eps)
x
#s(literal 1 binary64)
#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)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
#s(literal 4 binary64)
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) x))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(*.f64 eps eps)
#s(literal -10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
#s(literal 4 binary64)
(fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))
(*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)))
eps
#s(literal 5 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 eps eps) x) (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x))
(*.f64 eps (*.f64 eps (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -10 binary64))))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(*.f64 eps eps)
#s(literal -10 binary64)
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) x)
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (*.f64 eps eps))
#s(literal 10 binary64)
(neg.f64 x)

localize187.0ms (1.6%)

Memory
-19.3MiB live, 105.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy5.331120760145773
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
accuracy9.801107304611401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
accuracy9.942945724961417
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
accuracy12.725025696775445
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))
accuracy0.14195253907376806
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy0.2894732176122247
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
accuracy14.764220192022453
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
accuracy0.024101269536884032
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy0.07421875
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy7.785203142748978
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy8.441162665233469
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0
(/.f64 x eps)
accuracy0.140625
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
accuracy0.4407578885842678
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
accuracy8.38304395805039
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Samples
79.0ms200×0valid
22.0ms44×1valid
8.0ms12×2valid
Compiler

Compiled 287 to 37 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 44.0ms (51.3% of total)
ival-pow: 17.0ms (19.8% of total)
ival-div: 8.0ms (9.3% of total)
adjust: 5.0ms (5.8% of total)
ival-sub: 5.0ms (5.8% of total)
ival-add: 5.0ms (5.8% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
23.8MiB live, 60.3MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #<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 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #<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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 x (*.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 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (patch (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) (patch (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)) (patch (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor inf eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) (taylor inf eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) (taylor inf eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) (taylor inf eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf eps) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
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Calls

123 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(/ (* (* eps (* eps eps)) 10) x)
2.0ms
eps
@-inf
(+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))
2.0ms
x
@0
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))
1.0ms
eps
@0
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))
1.0ms
x
@0
(- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x))

simplify439.0ms (3.8%)

Memory
-26.1MiB live, 254.4MiB allocated
Algorithm
egg-herbie
Rules
15 792×lower-fma.f64
15 792×lower-fma.f32
6 284×lower-*.f64
6 284×lower-*.f32
3 778×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03987086
113616544
246815648
082585344
Stop Event
iter limit
node limit
Counts
492 → 486
Calls
Call 1
Inputs
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(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)))
(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))
(* 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 (* (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)))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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)
(+ (* 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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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)
(+ (* 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 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)))))))))
(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)))
(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))
(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)
(* -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
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps 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))))
(* 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) 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)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 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 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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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 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))))
(* 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 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 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 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) (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))
(* (pow eps 2) (- (* -10 (/ eps x)) 10))
(* (pow eps 2) (- (* -10 (/ eps x)) 10))
(* (pow eps 2) (- (* -10 (/ eps x)) 10))
(* -10 (/ (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps)))))
(* -10 (/ (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 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) x)) (* 10 (pow eps 3))) x)
(* -10 (pow eps 2))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(* -10 (pow eps 2))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* eps (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x))))))
(* eps (+ 5 (* eps (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x))))))
(* 10 (/ (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (+ (/ 5 (pow eps 2)) (/ 10 (* eps x)))))
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (+ (/ 5 (pow eps 2)) (/ 10 (* eps x)))))
(* 10 (/ (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (* 10 (/ 1 (* eps x)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))) eps)) (* 10 (/ 1 (pow x 2))))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))) eps)) (* 10 (/ 1 (pow x 2))))))
(* 10 (/ (pow eps 3) (pow x 2)))
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2))
(/ (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (pow x 2))
(/ (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (pow x 2))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))
(+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))
(+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* 10 (/ (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2)))))
(* 10 (/ (pow eps 3) (pow x 2)))
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2))
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2))
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2))
(* 10 (/ (pow eps 2) 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))) x)
(* 10 (/ (pow eps 2) x))
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x))
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x))
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -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))
(* -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))
(* -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))
(* -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))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) x))
(* 10 (/ (pow eps 3) 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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 3) (pow x 2)))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 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) (+ (* 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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (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 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))))))
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (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))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 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 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 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 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps 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)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 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)) (neg.f64 (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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x) eps)) eps)) (neg.f64 (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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(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))
(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))
(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))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) 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)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
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(* (pow x 4) (+ eps (* 4 eps)))
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eps
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eps
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(* (pow x 4) (+ eps (* 4 eps)))
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(* eps (+ (* 4 (pow x 4)) (pow x 4)))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
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(* 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))))
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(* 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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(* 10 (* (pow eps 2) (pow x 3)))
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(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 3) x))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (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 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))))))
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (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))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 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 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 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 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps 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)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 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)) (neg.f64 (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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x) eps)) eps)) (neg.f64 (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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 10 binary64) x)) #s(literal 5 binary64))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 10 binary64) x)) #s(literal 5 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps eps))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps eps))))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (neg.f64 eps))) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (neg.f64 eps))) (neg.f64 (*.f64 eps (*.f64 eps eps))))

rewrite287.0ms (2.5%)

Memory
36.8MiB live, 385.0MiB allocated
Rules
5 102×lower-*.f32
5 080×lower-*.f64
4 350×lower-/.f32
4 342×lower-/.f64
3 760×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040281
066257
1252251
21968251
08432243
Stop Event
iter limit
node limit
iter limit
Counts
23 → 763
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x))
(fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))
(/.f64 x eps)
(*.f64 x (*.f64 x x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(fma.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 5 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 x eps)) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #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 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
(+.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (/.f64 x (neg.f64 eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (*.f64 x #s(literal 5 binary64))) (*.f64 x #s(literal 5 binary64))) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (*.f64 x #s(literal 5 binary64))) (*.f64 x #s(literal 5 binary64))) eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))))
(*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(fma.f64 x (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(fma.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
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(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x x)) (*.f64 x x))

eval280.0ms (2.4%)

Memory
-21.2MiB live, 253.4MiB allocated
Compiler

Compiled 40 877 to 3 136 computations (92.3% saved)

prune166.0ms (1.4%)

Memory
1.1MiB live, 322.7MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 303131 316
Fresh224
Picked325
Done000
Total1 308171 325
Accuracy
100.0%
Counts
1 325 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
85.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
84.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
84.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
84.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
Compiler

Compiled 657 to 347 computations (47.2% saved)

simplify282.0ms (2.5%)

Memory
9.4MiB live, 382.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
cost-diff1024
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
cost-diff1280
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))
cost-diff0
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
cost-diff320
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
cost-diff704
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
cost-diff0
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
cost-diff0
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
cost-diff0
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Rules
20 548×lower-fma.f32
20 540×lower-fma.f64
5 358×lower-*.f32
5 322×lower-*.f64
2 064×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056486
082427
1180415
2505401
31548401
43871385
08272380
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
x
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
eps
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x))
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
#s(literal 10 binary64)
(/.f64 eps x)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 5 binary64)
eps
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
#s(literal 10 binary64)
(/.f64 eps x)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(fma.f64 #s(literal 5 binary64) x eps)
(fma.f64 x #s(literal 5 binary64) eps)
#s(literal 5 binary64)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
(*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
x
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
eps
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x))
(*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
#s(literal 10 binary64)
(/.f64 eps x)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 5 binary64)
eps
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
#s(literal 10 binary64)
(/.f64 eps x)

localize236.0ms (2.1%)

Memory
-27.9MiB live, 375.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.18359375
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
accuracy0.2598444578437827
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
accuracy0.296875
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
accuracy0.18359375
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
accuracy0.296875
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
accuracy3.85531390071502
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
accuracy0.08203125
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy0.1796875
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
accuracy0.06640625
(*.f64 eps (*.f64 eps eps))
accuracy0.14578878162065376
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
accuracy8.382362194377292
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))
accuracy9.801107304611401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
accuracy0
(fma.f64 #s(literal 5 binary64) x eps)
accuracy0
(pow.f64 eps #s(literal 4 binary64))
accuracy0.05078125
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
accuracy8.38304395805039
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Samples
97.0ms184×0valid
40.0ms58×1valid
11.0ms14×2valid
Compiler

Compiled 345 to 50 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 64.0ms (54.8% of total)
ival-pow: 23.0ms (19.7% of total)
ival-add: 9.0ms (7.7% of total)
ival-div: 8.0ms (6.8% of total)
adjust: 7.0ms (6% of total)
ival-sub: 4.0ms (3.4% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
9.4MiB live, 81.4MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (patch (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 4 binary64)) (patch (pow.f64 eps #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (patch (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (patch (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (patch (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x 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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x 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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x 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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
(* (* eps (* eps eps)) 10)
1.0ms
eps
@0
(* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10))))
1.0ms
eps
@-inf
(* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10))))
1.0ms
x
@-inf
(* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10))))
1.0ms
eps
@0
(+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x)))))

simplify403.0ms (3.5%)

Memory
43.6MiB live, 434.1MiB allocated
Algorithm
egg-herbie
Rules
15 352×lower-fma.f64
15 352×lower-fma.f32
5 970×lower-*.f64
5 970×lower-*.f32
5 372×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03297757
111467206
238966204
081665904
Stop Event
iter limit
node limit
Counts
540 → 537
Calls
Call 1
Inputs
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(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)))
(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))
(* 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 (* (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)))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ 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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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 3) (pow x 2)))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 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) (+ (* 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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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 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))))
(* 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 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 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 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) (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) (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))))
(* 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 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 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 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) (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 x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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))
(* (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 (/ (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))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 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))))
(* (pow x 2) (+ (* 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))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps 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))))
(* 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) 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)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 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 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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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)))
(* 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 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) (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) (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))))
(* 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 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))))
(* 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))))
(* 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 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 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 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) (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) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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 x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(* 10 (pow eps 3))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 eps)))
(* eps (+ (* 5 x) (* 10 eps)))
(* eps (+ (* 5 x) (* 10 eps)))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* 10 (pow eps 2))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps x))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 10 (/ eps x))
(* 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))
(* 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))
(* 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))
(* 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))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) (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 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (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))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) (neg.f64 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) (neg.f64 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) x (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 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 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (+.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x 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)) (neg.f64 (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 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps))))
(* -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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
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(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(* 5 (* eps x))
(*.f64 #s(literal 5 binary64) (*.f64 eps x))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(* 10 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* 10 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps)
(* 10 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(* 5 (* eps x))
(*.f64 #s(literal 5 binary64) (*.f64 eps x))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* 5 (* eps x))
(*.f64 #s(literal 5 binary64) (*.f64 eps x))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ eps x))
(/.f64 (*.f64 eps #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(* 10 (/ (pow eps 2) x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)

rewrite336.0ms (2.9%)

Memory
-19.4MiB live, 344.4MiB allocated
Rules
5 202×lower-*.f32
5 166×lower-*.f64
4 266×lower-fma.f32
4 258×lower-fma.f64
3 618×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056416
082350
1326340
22545340
08666328
Stop Event
iter limit
node limit
iter limit
Counts
25 → 496
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 4 binary64))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x))
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(*.f64 #s(literal 10 binary64) (/.f64 eps x))
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps)))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))
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(/.f64 (neg.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 1 binary64)) (/.f64 x eps))
(/.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (neg.f64 eps))) x)
(/.f64 (neg.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 x eps)))
(/.f64 (neg.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64))
(*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x))
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) (neg.f64 x)))
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x))
(*.f64 (*.f64 eps eps) (neg.f64 (/.f64 #s(literal -10 binary64) x)))
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) (neg.f64 x)))
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))
(*.f64 #s(literal 10 binary64) (*.f64 eps (/.f64 eps x)))
(*.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) eps))
(*.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x))
(*.f64 (/.f64 eps x) (*.f64 eps #s(literal 10 binary64)))
(*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) eps)
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal -10 binary64)) x))
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x))
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal -10 binary64) x))
(*.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64))

eval164.0ms (1.4%)

Memory
10.6MiB live, 201.8MiB allocated
Compiler

Compiled 29 895 to 1 549 computations (94.8% saved)

prune179.0ms (1.6%)

Memory
-20.6MiB live, 297.0MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 165161 181
Fresh7310
Picked505
Done022
Total1 177211 198
Accuracy
100.0%
Counts
1 198 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
85.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
58.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
84.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
84.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
84.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
Compiler

Compiled 759 to 397 computations (47.7% saved)

simplify288.0ms (2.5%)

Memory
20.6MiB live, 385.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))
cost-diff0
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
cost-diff192
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)
cost-diff0
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))
cost-diff0
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))))
cost-diff0
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
cost-diff0
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))
cost-diff0
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))
cost-diff0
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(fma.f64 x #s(literal 5 binary64) eps)
cost-diff0
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Rules
18 154×lower-fma.f32
18 146×lower-fma.f64
4 564×lower-*.f32
4 522×lower-*.f64
2 294×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065589
093552
1212542
2588528
31568528
43722517
57774517
08040500
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
eps
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))
x
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))
eps
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))
#s(literal 5 binary64)
(*.f64 eps (*.f64 x x))
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))
x
(*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
eps
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
eps
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x))
x
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))
eps
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64)))))))
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64))))))
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))))
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64)))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64))))
#s(literal 5 binary64)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 x eps))
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)
(*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))
(*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))
x
(*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))
(*.f64 x (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))
eps
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps eps)

localize493.0ms (4.3%)

Memory
2.6MiB live, 214.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
accuracy0.13671875
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
accuracy0.14195253907376806
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy9.801107304611401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
accuracy0.07421875
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
accuracy0.1015625
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
accuracy0.1015625
(*.f64 x (*.f64 x x))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
accuracy0.0703125
(*.f64 eps (*.f64 x x))
accuracy0.09050751953688403
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))
accuracy9.627268043411704
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))))
accuracy9.88232041698641
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
accuracy0.0546875
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))
accuracy0.12109375
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
accuracy8.382362194377292
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))
accuracy9.801107304611401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
accuracy0.05078125
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
accuracy0.0625
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy0.06640625
(*.f64 eps (*.f64 eps eps))
accuracy8.38304395805039
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Samples
226.0ms53×1valid
203.0ms191×0valid
10.0ms12×2valid
Compiler

Compiled 384 to 57 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 46.0ms (51.8% of total)
ival-pow: 13.0ms (14.6% of total)
ival-add: 10.0ms (11.3% of total)
ival-div: 8.0ms (9% of total)
adjust: 6.0ms (6.8% of total)
ival-sub: 4.0ms (4.5% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory
-1.4MiB live, 74.6MiB allocated
Counts
27 → 588
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (patch (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 5 binary64) eps) (patch (fma.f64 x #s(literal 5 binary64) eps) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps eps))) (patch (*.f64 eps (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) (patch (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) (patch (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) (patch (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (patch #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) (patch (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) (patch (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (patch (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) (patch (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 x x)) (patch (*.f64 eps (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 eps) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 eps) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 3)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 3)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 3)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 2))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 2))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(* 5 (* eps (* x x)))
0.0ms
x
@0
(* (+ (* x 5) eps) (* eps (* eps (* eps eps))))
0.0ms
eps
@inf
(* 5 (* eps (* x x)))
0.0ms
x
@inf
(* 5 (* eps (* x x)))
0.0ms
x
@-inf
(* (* x (* x x)) (+ (* x 5) (* eps 10)))

simplify335.0ms (2.9%)

Memory
12.9MiB live, 475.0MiB allocated
Algorithm
egg-herbie
Rules
12 602×lower-fma.f64
12 602×lower-fma.f32
6 102×lower-*.f64
6 102×lower-*.f32
3 498×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03778719
113348150
245567126
080026743
Stop Event
iter limit
node limit
Counts
588 → 585
Calls
Call 1
Inputs
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 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 (* (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 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(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)))
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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 3) (pow x 2)))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 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) (+ (* 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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) x))
(* 10 (* (pow eps 3) 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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)))
(* 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 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) (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) (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))))
(* 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 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)))
(* 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))
(* (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 (/ (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))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 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))))
(* (pow x 2) (+ (* 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))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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 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))))
(* 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 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 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 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) (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) (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))))
(* 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 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 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 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) (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)))
(* (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))
(* (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))
(* (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)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (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)))
(* -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))
(+ (* 10 (* eps x)) (* 10 (pow eps 2)))
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 5 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps))))
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) 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))
(* (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 (+ (* -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))))
(* 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) (+ 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)
(* -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 3) (pow x 2)))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 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) (+ (* 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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 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) (+ (* 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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 10 eps)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 5 x)
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* 5 x)
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* 5 x)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 10 eps)
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* 10 eps)
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 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)))))
(* 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)))))
(* 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)))
(* 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)))))
(* 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))))))
(* 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)))
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 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 x (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (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 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) 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))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (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 (*.f64 x (*.f64 x x)) x) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) 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 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) 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 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))
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(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* x (+ 5 (* 10 (/ eps x))))
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
(* x (+ 5 (* 10 (/ eps x))))
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
(* x (+ 5 (* 10 (/ eps x))))
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(+ (* 5 x) (* 10 eps))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64))))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(* 5 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) (fma.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 10 binary64))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) (fma.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 10 binary64))))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))
(* 5 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 eps #s(literal 5 binary64))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 eps #s(literal 5 binary64))))
(* 5 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64))))

rewrite368.0ms (3.2%)

Memory
-38.5MiB live, 334.3MiB allocated
Rules
5 104×lower-*.f32
5 062×lower-*.f64
4 560×lower-fma.f32
4 552×lower-fma.f64
3 840×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065521
093481
1365467
22793467
08896454
Stop Event
iter limit
node limit
iter limit
Counts
27 → 346
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 x #s(literal 5 binary64) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 x x))
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))
(*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) eps) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)
(+.f64 eps (*.f64 x #s(literal 5 binary64)))
(+.f64 (*.f64 x #s(literal 5 binary64)) eps)
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))))
(fma.f64 x #s(literal 5 binary64) eps)
(fma.f64 #s(literal 5 binary64) x eps)
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))))
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(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))
(neg.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps (neg.f64 (*.f64 eps #s(literal -10 binary64))))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
(*.f64 (neg.f64 eps) (*.f64 eps #s(literal -10 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))
(*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -10 binary64))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(+.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) eps (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 x eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))) (-.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))
(/.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(/.f64 (*.f64 eps (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) eps) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) eps) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(/.f64 (neg.f64 (*.f64 eps (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) eps)) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) eps)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) eps)

eval102.0ms (0.9%)

Memory
49.4MiB live, 235.5MiB allocated
Compiler

Compiled 20 312 to 1 340 computations (93.4% saved)

prune281.0ms (2.4%)

Memory
-14.3MiB live, 513.4MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New92110931
Fresh8614
Picked415
Done022
Total93319952
Accuracy
100.0%
Counts
952 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
85.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
58.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
84.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Compiler

Compiled 1 154 to 357 computations (69.1% saved)

regimes41.0ms (0.4%)

Memory
-18.5MiB live, 60.1MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

14.0ms
x
13.0ms
eps
12.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.9%3x
98.3%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)

regimes12.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
Calls

1 calls:

10.0ms
(-.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)

regimes24.0ms (0.2%)

Memory
3.4MiB live, 41.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

2 calls:

11.0ms
x
10.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.9%3x
98.6%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)

regimes51.0ms (0.4%)

Memory
-22.2MiB live, 16.4MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

49.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-18.9MiB live, 19.0MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-26.2MiB live, 22.3MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory
-24.6MiB live, 12.9MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.5%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
98.4%3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
Calls

1 calls:

4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.4%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)

regimes41.0ms (0.4%)

Memory
-9.6MiB live, 28.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
Calls

3 calls:

31.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
84.1%1eps
84.1%1x
84.1%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)

regimes12.0ms (0.1%)

Memory
-14.4MiB live, 23.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
Calls

3 calls:

5.0ms
eps
3.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
84.1%1x
84.1%1eps
84.1%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)

regimes8.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
Calls

3 calls:

3.0ms
x
3.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
84.1%1x
84.1%1eps
84.1%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)

regimes10.0ms (0.1%)

Memory
-30.3MiB live, 16.7MiB allocated
Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
Calls

3 calls:

5.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
72.0%1x
72.0%1eps
72.0%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)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.4e-323
0.0ms
-6.106878928768402e-250
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.4e-323
0.0ms
-6.106878928768402e-250
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch141.0ms (1.2%)

Memory
7.7MiB live, 45.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
8.737237411845928e-63
7.423402324560327e-62
130.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Samples
124.0ms114×1valid
6.0ms110×0valid
Compiler

Compiled 572 to 340 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-pow: 118.0ms (94.9% of total)
adjust: 3.0ms (2.4% of total)
ival-add: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Compiler

Compiled 544 to 326 computations (40.1% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Compiler

Compiled 600 to 340 computations (43.3% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Compiler

Compiled 552 to 308 computations (44.2% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Compiler

Compiled 544 to 308 computations (43.4% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-1.7317033686650606e-31
-1.366421226314125e-35
Compiler

Compiled 536 to 300 computations (44% saved)

bsearch180.0ms (1.6%)

Memory
-6.6MiB live, 30.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.737237411845928e-63
7.423402324560327e-62
178.0ms
-2.2178157111200055e-26
-5.163023224386148e-27
Samples
173.0ms85×1valid
1.0ms11×0valid
Compiler

Compiled 434 to 252 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-pow: 167.0ms (97.7% of total)
adjust: 2.0ms (1.2% of total)
ival-add: 1.0ms (0.6% of total)
ival-sub: 1.0ms (0.6% 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
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
8.737237411845928e-63
7.423402324560327e-62
1.0ms
-2.2178157111200055e-26
-5.163023224386148e-27
Compiler

Compiled 434 to 252 computations (41.9% saved)

bsearch11.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.737237411845928e-63
7.423402324560327e-62
9.0ms
-8.607122711672104e-26
-6.598202484523663e-26
Samples
7.0ms45×1valid
0.0ms0valid
Compiler

Compiled 329 to 192 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow: 4.0ms (68.5% of total)
adjust: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.4e-323
0.0ms
-6.106878928768402e-250
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.4e-323
0.0ms
-6.106878928768402e-250
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify61.0ms (0.5%)

Memory
-4.3MiB live, 31.5MiB allocated
Algorithm
egg-herbie
Rules
104×*-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
01751546
12321546
22511546
32631546
42701546
52721546
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 -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.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 -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)))))
(if (<=.f64 x #s(literal -359338179468511/5444517870735015415413993718908291383296 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (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 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) (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 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.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 -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.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 -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 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 -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 x eps))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))))
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps)))))
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(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -359338179468511/5444517870735015415413993718908291383296 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (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 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (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 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) (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 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (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 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))

soundness2.1s (17.9%)

Memory
-5.3MiB live, 1 522.3MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
15 792×lower-fma.f64
15 792×lower-fma.f32
15 352×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03297757
111467206
238966204
081665904
02451372
18171243
228601056
08403988
03778719
113348150
245567126
080026743
0720
01120
15220
235020
3354520
0939420
03987086
113616544
246815648
082585344
040281
066257
1252251
21968251
08432243
065521
093481
1365467
22793467
08896454
056416
082350
1326340
22545340
08666328
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 732 to 686 computations (60.4% saved)

preprocess233.0ms (2%)

Memory
-19.6MiB live, 179.2MiB allocated
Compiler

Compiled 1 666 to 238 computations (85.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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