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

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.5s (17%)

Memory
36.8MiB live, 1 440.7MiB allocated
Samples
750.0ms6 769×0valid
283.0ms1 191×1valid
72.0ms296×2valid
Precisions
Click to see histograms. Total time spent on operations: 878.0ms
ival-pow: 509.0ms (57.9% of total)
ival-<=: 148.0ms (16.8% of total)
ival-sub: 66.0ms (7.5% of total)
ival-add: 59.0ms (6.7% of total)
adjust: 55.0ms (6.3% of total)
ival-and: 21.0ms (2.4% of total)
exact: 19.0ms (2.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain189.0ms (2.1%)

Memory
-32.8MiB live, 234.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(-.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)))cancellation350
Confusion
Predicted +Predicted -
+350
-0221
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-00221
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms422×0valid
23.0ms74×1valid
8.0ms16×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 38.0ms (69.3% of total)
ival-add: 6.0ms (10.9% of total)
adjust: 5.0ms (9.1% of total)
ival-sub: 5.0ms (9.1% of total)
ival-true: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess28.0ms (0.3%)

Memory
-13.8MiB live, 24.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB 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)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize176.0ms (2%)

Memory
-6.6MiB live, 32.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.01953125
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy7.461538305144356
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
162.0ms211×0valid
7.0ms37×1valid
2.0ms2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 11.0ms (69.6% of total)
ival-add: 2.0ms (12.7% of total)
adjust: 1.0ms (6.3% of total)
ival-sub: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify320.0ms (3.6%)

Memory
-3.1MiB live, 274.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite155.0ms (1.7%)

Memory
24.0MiB live, 216.8MiB allocated
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
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eval103.0ms (1.2%)

Memory
-27.2MiB live, 97.5MiB allocated
Compiler

Compiled 10 014 to 1 248 computations (87.5% saved)

prune14.0ms (0.2%)

Memory
4.1MiB live, 42.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3519360
Fresh000
Picked011
Done000
Total35110361
Accuracy
100.0%
Counts
361 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
79.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
79.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
Compiler

Compiled 287 to 215 computations (25.1% saved)

simplify160.0ms (1.8%)

Memory
-13.2MiB live, 183.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
cost-diff6656
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
cost-diff128
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
cost-diff320
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
cost-diff320
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 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
(/.f64 x eps)
cost-diff0
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043376
074376
1124361
2256343
3656343
41660343
53290343
67859343
08204332
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
#s(literal 5 binary64)
eps
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
(neg.f64 eps)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
eps
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
#s(literal 5 binary64)
eps
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) (*.f64 eps eps))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x)
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x)
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) eps) x) x)
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
(neg.f64 eps)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps))
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))
(*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
eps
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize251.0ms (2.8%)

Memory
14.9MiB live, 257.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps))
accuracy0.1015625
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
accuracy0.14771008277819153
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
accuracy0.26171875
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
accuracy7.940478049993526
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
accuracy8.576812290203323
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy13.926999054998712
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
accuracy0.0546875
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
accuracy0.18263627930532605
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy10.255308906006725
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
accuracy14.098649567737377
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy8.285965916845045
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0
(/.f64 x eps)
accuracy0.12109375
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy0.2699933483541321
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy8.11100102675305
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Samples
67.0ms195×0valid
32.0ms47×1valid
30.0ms14×2valid
Compiler

Compiled 319 to 45 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-pow: 40.0ms (41.8% of total)
ival-mult: 27.0ms (28.2% of total)
ival-add: 10.0ms (10.5% of total)
ival-div: 8.0ms (8.4% of total)
adjust: 6.0ms (6.3% of total)
ival-neg: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (1.3%)

Memory
11.4MiB live, 85.0MiB allocated
Counts
23 → 504
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) (patch (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<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 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) (patch (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 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)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) (patch (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
59.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10))
6.0ms
x
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10))
6.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10))
5.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10))
5.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10))

simplify264.0ms (3%)

Memory
-33.5MiB live, 219.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04097141
114106685
247955933
378805933
083875594
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (/ (pow x 2) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) 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))))
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 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))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* 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))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* eps (pow x 2)))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* 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))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* eps (pow x 2)))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(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)))
(* -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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -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 eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (/ (pow eps 2) 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)
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 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 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 10 eps) (* 10 x)))
(* (pow x 2) (+ (* 10 eps) (* 10 x)))
(* (pow x 2) (+ (* 10 eps) (* 10 x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (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 x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 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 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (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))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (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 x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (/ x eps))
(*.f64 (/.f64 x eps) #s(literal 5 binary64))
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(/ x eps)
(/.f64 x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* 10 (/ (pow x 2) eps))
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 (/.f64 (*.f64 (/.f64 x eps) x) eps) #s(literal 10 binary64))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) eps)
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps)
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps)
(* 10 (/ (pow x 2) eps))
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
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(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 eps x) eps eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 eps x) eps eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x)
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x)))
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 (/.f64 (*.f64 (/.f64 x eps) x) eps) #s(literal 10 binary64))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x)
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))

rewrite176.0ms (2%)

Memory
34.0MiB live, 188.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043307
074307
1269293
22019293
08391289
Stop Event
iter limit
node limit
iter limit
Counts
23 → 477
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
Outputs
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eval132.0ms (1.5%)

Memory
-5.7MiB live, 185.8MiB allocated
Compiler

Compiled 22 455 to 2 722 computations (87.9% saved)

prune50.0ms (0.6%)

Memory
-17.4MiB live, 80.2MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 02291 031
Fresh224
Picked325
Done011
Total1 027141 041
Accuracy
100.0%
Counts
1 041 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
87.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 322 to 255 computations (20.8% saved)

simplify202.0ms (2.3%)

Memory
29.0MiB live, 182.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
cost-diff0
(/.f64 #s(literal 10 binary64) x)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
cost-diff320
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))
cost-diff704
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
cost-diff0
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
cost-diff0
(pow.f64 eps #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052475
079475
1147443
2340439
3766439
41463437
51906437
62609437
74728437
85262437
95787437
106363437
116514437
126587437
08773421
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 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(pow.f64 eps #s(literal 3 binary64))
eps
#s(literal 3 binary64)
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(*.f64 (*.f64 x eps) eps)
(*.f64 x eps)
x
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps))
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
x
(+.f64 x eps)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))
(/.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
x
(*.f64 eps eps)
eps
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
eps
#s(literal 3 binary64)
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 (*.f64 x eps) eps)
(*.f64 (*.f64 eps x) eps)
(*.f64 x eps)
(*.f64 eps x)
x
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 x x)
x
(+.f64 x eps)
(+.f64 eps x)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 eps x))
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)
(/.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
x
(*.f64 eps eps)
eps
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps

localize277.0ms (3.1%)

Memory
-25.7MiB live, 124.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0.02734375
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
accuracy0.0703125
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy10.346554698412422
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
accuracy0.0546875
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))
accuracy3.360269517758126
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))
accuracy7.883443277777104
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))
accuracy10.255308906006725
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
accuracy0.09375
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))
accuracy0.14771008277819153
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
accuracy14.590077054398291
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps))
accuracy0.0546875
(*.f64 (*.f64 x eps) eps)
accuracy0.1138113643988453
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
accuracy14.716395378596571
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x))
accuracy0.078125
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
accuracy0.0859375
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
accuracy0.12589382300974955
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
accuracy7.940478049993526
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
Samples
131.0ms45×1valid
101.0ms200×0valid
8.0ms11×2valid
Compiler

Compiled 329 to 43 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-pow: 128.0ms (59.9% of total)
ival-mult: 68.0ms (31.8% of total)
ival-add: 8.0ms (3.7% of total)
adjust: 5.0ms (2.3% of total)
ival-div: 2.0ms (0.9% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.6%)

Memory
8.1MiB live, 80.8MiB allocated
Counts
26 → 564
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) (patch (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (patch (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (patch (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 10 binary64) x) (patch (/.f64 #s(literal 10 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#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 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) (taylor 0 eps) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) (taylor 0 eps) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)))
7.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)))
4.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)))
4.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)))
4.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)))

simplify403.0ms (4.5%)

Memory
-175.8MiB live, 240.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04128300
114507757
250416910
082246567
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps x))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(* 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)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (* eps (pow x 2)))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(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)))
(* -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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (* eps (pow x 2)))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (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))
(* 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(/ 10 x)
(/ 10 x)
(/ 10 x)
(/ 10 x)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 10 eps) (* 10 x)))
(* (pow x 2) (+ (* 10 eps) (* 10 x)))
(* (pow x 2) (+ (* 10 eps) (* 10 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))))
(* (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))))))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 10 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)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(/ 10 x)
(/ 10 x)
(/ 10 x)
(/ 10 x)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* eps x))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (* 10 (/ eps 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))))
(* (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))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 10 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 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)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(/ 10 x)
(/ 10 x)
(/ 10 x)
(/ 10 x)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* eps x))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* 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))))
Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
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(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
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(* (pow x 4) (+ eps (* 4 eps)))
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
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(* (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))))
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rewrite206.0ms (2.3%)

Memory
11.3MiB live, 201.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052431
079423
1262395
21677395
08138385
Stop Event
iter limit
node limit
iter limit
Counts
26 → 477
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
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(pow.f64 eps #s(literal 3 binary64))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
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#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x))
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#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
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Outputs
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eval115.0ms (1.3%)

Memory
17.3MiB live, 210.1MiB allocated
Compiler

Compiled 23 934 to 2 759 computations (88.5% saved)

prune301.0ms (3.4%)

Memory
14.8MiB live, 174.8MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New1 027141 041
Fresh336
Picked505
Done033
Total1 035201 055
Accuracy
100.0%
Counts
1 055 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
87.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
83.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
72.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 530 to 395 computations (25.5% saved)

simplify258.0ms (2.9%)

Memory
-25.5MiB live, 100.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
cost-diff0
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
cost-diff0
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
cost-diff0
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))
cost-diff0
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
cost-diff0
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064657
096657
1180627
2388609
3876609
41393594
51685594
61923594
73890594
84932594
95228594
105486594
115606594
125687594
135988594
146792594
157085594
167455594
08055591
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(*.f64 (*.f64 eps eps) eps)
(*.f64 eps eps)
eps
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))
(*.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))
(*.f64 x (*.f64 (*.f64 eps x) eps))
x
(*.f64 (*.f64 eps x) eps)
(*.f64 eps x)
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 (+.f64 eps x) eps)
(+.f64 eps x)
eps
x
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 x x)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 eps (+.f64 x eps))
eps
(+.f64 x eps)
#s(literal 10 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (*.f64 eps eps) eps)
(pow.f64 eps #s(literal 3 binary64))
(*.f64 eps eps)
eps
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x))
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)
(*.f64 (*.f64 x eps) x)
(*.f64 (*.f64 eps x) x)
(*.f64 x eps)
(*.f64 eps x)
x
eps
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x))
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)
(*.f64 x (*.f64 (*.f64 eps x) eps))
(*.f64 (*.f64 (*.f64 eps x) eps) x)
x
(*.f64 (*.f64 eps x) eps)
(*.f64 eps x)
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))
(*.f64 (+.f64 eps x) eps)
(+.f64 eps x)
eps
x
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 x x)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)
(fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)))
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x) (*.f64 (*.f64 #s(literal 5 binary64) x) x))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x))
(*.f64 eps (+.f64 x eps))
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 x eps)
(+.f64 eps x)
#s(literal 10 binary64)

localize312.0ms (3.5%)

Memory
-5.1MiB live, 158.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)))
accuracy0.11328125
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
accuracy0.23696007069442185
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
accuracy0.08431625976844201
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
accuracy0.14771008277819153
(*.f64 (*.f64 x x) #s(literal 10 binary64))
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
accuracy14.590077054398291
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
accuracy0.053296313241307514
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))
accuracy0.0546875
(*.f64 (*.f64 eps x) eps)
accuracy10.126084536239835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
accuracy14.716395378596571
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)))
accuracy0.0703125
(*.f64 (*.f64 x eps) x)
accuracy0.07945253907376808
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))
accuracy9.591120562922946
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
accuracy10.255308906006725
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
accuracy0.078125
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
accuracy0.0859375
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
accuracy0.12589382300974955
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
accuracy7.940478049993526
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
Samples
137.0ms206×0valid
42.0ms42×1valid
7.0ms2valid
Compiler

Compiled 417 to 53 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-add: 56.0ms (36.1% of total)
ival-mult: 56.0ms (36.1% of total)
adjust: 20.0ms (12.9% of total)
ival-pow: 19.0ms (12.3% of total)
ival-div: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series188.0ms (2.1%)

Memory
7.5MiB live, 79.7MiB allocated
Counts
26 → 600
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (patch #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (patch (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())
Outputs
#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 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)))
4.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)))
4.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)))
3.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)))
3.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)))

simplify260.0ms (2.9%)

Memory
10.8MiB live, 326.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04459361
115908774
255727903
081237476
Stop Event
iter limit
node limit
Counts
600 → 600
Calls
Call 1
Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 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))))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(* 5 (pow x 3))
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))))
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))))
(* 5 (* eps x))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (* eps x))
(* eps (+ (* 10 eps) (* 10 x)))
(* eps (+ (* 10 eps) (* 10 x)))
(* eps (+ (* 10 eps) (* 10 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))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* 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)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (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)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(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)))
(* -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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(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)))
(* -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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(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)))
(* -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 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (* 10 (/ x eps))))
(* (pow eps 2) (+ 10 (* 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 eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 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))
(* 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (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))
(* 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 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))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow eps 2))
(+ (* 10 (* eps x)) (* 10 (pow eps 2)))
(+ (* 10 (* eps x)) (* 10 (pow eps 2)))
(+ (* 10 (* eps x)) (* 10 (pow eps 2)))
(* 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))))
(* (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))))))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 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 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 5 (pow x 3))
(* (pow x 3) (+ 5 (* 10 (/ eps x))))
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* 5 (* eps x))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (* eps x))
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* 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))))))
(* (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))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* 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)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 10 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -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 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* 5 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))
(* 5 (* eps x))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (* eps x))
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* 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))))
Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps)
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x)
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64)))
(pow eps 2)
(*.f64 eps eps)
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(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x)
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x)
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x)
(* 5 (pow x 2))
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x))
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x))

rewrite202.0ms (2.3%)

Memory
13.7MiB live, 344.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064574
096570
1312546
21984538
08384517
Stop Event
iter limit
node limit
iter limit
Counts
26 → 299
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(*.f64 eps eps)
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(*.f64 (*.f64 x eps) x)
(*.f64 (*.f64 eps x) eps)
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)))
Outputs
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eval157.0ms (1.8%)

Memory
-9.7MiB live, 145.6MiB allocated
Compiler

Compiled 19 587 to 2 112 computations (89.2% saved)

prune49.0ms (0.6%)

Memory
-5.8MiB live, 79.2MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New88613899
Fresh10212
Picked325
Done123
Total90019919
Accuracy
100.0%
Counts
919 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
73.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
84.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
77.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 1 004 to 480 computations (52.2% saved)

regimes40.0ms (0.4%)

Memory
8.2MiB live, 45.7MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

15.0ms
eps
12.0ms
x
10.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.0%3x
97.7%3eps
99.2%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.2%)

Memory
-10.9MiB live, 26.7MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

1 calls:

13.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.2%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes32.0ms (0.4%)

Memory
-5.4MiB live, 50.6MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

10.0ms
(-.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 9 to 7 computations (22.2% saved)

regimes45.0ms (0.5%)

Memory
-13.9MiB live, 25.0MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

43.0ms
(-.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 9 to 7 computations (22.2% saved)

regimes11.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
Calls

1 calls:

9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.3%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
Calls

1 calls:

9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.3%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes33.0ms (0.4%)

Memory
-18.0MiB live, 20.1MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
Calls

1 calls:

8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.3%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))
Calls

1 calls:

6.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.3%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes30.0ms (0.3%)

Memory
-26.2MiB live, 10.5MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
Calls

1 calls:

29.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.1%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
97.4%3x
97.8%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
Calls

1 calls:

2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
97.8%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.9%1x
86.9%1eps
86.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
8.063153889301369e-308
0.0ms
-8.88844947937875e-310
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

simplify55.0ms (0.6%)

Memory
-7.6MiB live, 71.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461403
11911403
22001403
32131403
42241403
52311403
62351403
72361403
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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (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 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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 (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x 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 (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (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 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (*.f64 eps eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (*.f64 eps eps) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps)))

soundness1.8s (20.2%)

Memory
-2.8MiB live, 982.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04128300
114507757
250416910
082246567
052431
079423
1262395
21677395
08138385
04459361
115908774
255727903
081237476
043307
074307
1269293
22019293
08391289
04097141
114106685
247955933
378805933
083875594
02451372
18171243
228551056
08390988
064574
096570
1312546
21984538
08384517
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 123 to 417 computations (62.9% saved)

preprocess158.0ms (1.8%)

Memory
20.6MiB live, 148.1MiB allocated
Compiler

Compiled 1 626 to 238 computations (85.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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