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

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample1.2s (14.5%)

Memory
53.8MiB live, 1 851.3MiB allocated
Samples
575.0ms6 707×0valid
218.0ms1 270×1valid
62.0ms279×2valid
Precisions
Click to see histograms. Total time spent on operations: 613.0ms
ival-pow: 317.0ms (51.7% of total)
ival-<=: 90.0ms (14.7% of total)
ival-add: 60.0ms (9.8% of total)
adjust: 55.0ms (9% of total)
ival-sub: 47.0ms (7.7% of total)
ival-and: 21.0ms (3.4% of total)
exact: 19.0ms (3.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain99.0ms (1.2%)

Memory
9.6MiB live, 124.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(-.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)))cancellation400
Confusion
Predicted +Predicted -
+400
-0216
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4000
-00216
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0216
140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms412×0valid
12.0ms74×1valid
9.0ms26×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 22.0ms (68.4% of total)
adjust: 3.0ms (9.3% of total)
ival-add: 3.0ms (9.3% of total)
ival-sub: 3.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess30.0ms (0.4%)

Memory
-21.5MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
120×sub-neg
84×unsub-neg
80×lower-fma.f64
80×lower-fma.f32
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(-.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)

simplify7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize31.0ms (0.4%)

Memory
8.1MiB live, 45.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x eps)
accuracy0.00390625
(pow.f64 x #s(literal 5 binary64))
accuracy0.03869879138909577
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy8.347260776534556
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
15.0ms206×0valid
7.0ms37×1valid
3.0ms13×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 10.0ms (64.3% of total)
adjust: 2.0ms (12.9% of total)
ival-add: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.4% 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
12.6MiB live, 12.6MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 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))

simplify185.0ms (2.2%)

Memory
-13.5MiB live, 172.0MiB allocated
Algorithm
egg-herbie
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite373.0ms (4.5%)

Memory
-6.6MiB live, 169.6MiB allocated
Rules
4 520×lower-*.f64
4 520×lower-*.f32
3 728×lower-fma.f64
3 728×lower-fma.f32
3 216×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15220
235020
3354520
0939420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))
Outputs
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eval73.0ms (0.9%)

Memory
-11.6MiB live, 68.3MiB allocated
Compiler

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

prune14.0ms (0.2%)

Memory
-6.1MiB live, 32.0MiB 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
86.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.0%
#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))))
80.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
80.9%
#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))
80.6%
#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))))
33.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
74.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
78.5%
#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))))
80.3%
#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 383 to 275 computations (28.2% saved)

simplify197.0ms (2.4%)

Memory
31.2MiB live, 149.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.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))
cost-diff320
(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)))
cost-diff320
(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)))
cost-diff6272
(/.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))
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
(*.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))))
Rules
7 416×lower-fma.f32
7 404×lower-fma.f64
4 040×lower-*.f32
4 020×lower-*.f64
1 810×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044450
077450
1130433
2266413
3716407
42052402
54597402
67677402
08232384
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 (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)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
(*.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)))
(+.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))
(/.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)
(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)))
#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))
(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)))
(*.f64 x x)
#s(literal -10 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#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 (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 (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 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 (*.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 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) 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))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
#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)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.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)))
(*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.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))
(fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64))
(/.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)
(*.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)))
(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)))
(*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)))
#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))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) eps) (*.f64 x x))
(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)))
(*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 10 binary64)
(neg.f64 eps)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))

localize184.0ms (2.2%)

Memory
7.3MiB live, 205.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy8.779553723264401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
accuracy9.866133319383092
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))
accuracy10.932057964438169
(/.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))
accuracy16.364765901705493
(*.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)))
accuracy0.08203125
(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))
accuracy0.13658509486196127
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
accuracy0.2051163086106521
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy12.212624653717137
#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))
accuracy0.19140625
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy0.5071294771408572
(*.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)))
accuracy12.040794017761575
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
accuracy12.362779680266598
#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))))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy9.23299594106501
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0
(/.f64 x eps)
accuracy0.140625
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy0.45606603611158075
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy8.962851454780546
#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
94.0ms192×0valid
30.0ms43×1valid
21.0ms21×2valid
Compiler

Compiled 391 to 47 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-add: 42.0ms (36.1% of total)
ival-pow: 28.0ms (24% of total)
ival-mult: 24.0ms (20.6% of total)
ival-div: 10.0ms (8.6% of total)
adjust: 7.0ms (6% of total)
ival-sub: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (1.1%)

Memory
-8.4MiB live, 66.4MiB allocated
Counts
24 → 528
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 (*.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 (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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (+.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)) (patch (+.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)) #<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 #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>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #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 (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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) #<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>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
33.0ms
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)) (+ (* (* 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)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)))
7.0ms
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)) (+ (* (* 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)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)))
6.0ms
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)) (+ (* (* 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)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)))
6.0ms
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)) (+ (* (* 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)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)))
5.0ms
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)) (+ (* (* 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)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)))

simplify300.0ms (3.6%)

Memory
-15.5MiB live, 230.2MiB allocated
Algorithm
egg-herbie
Rules
13 758×lower-fma.f64
13 758×lower-fma.f32
6 298×lower-*.f64
6 298×lower-*.f32
3 916×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05247610
118047125
264027060
081206641
Stop Event
iter limit
node limit
Counts
528 → 528
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 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 x 3) (pow eps 2)))
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2))
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2))
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2))
(* 10 (/ (pow x 3) (pow eps 2)))
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2))
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2))
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 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)
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps)
(* 10 (/ (pow x 3) (pow eps 3)))
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 3))
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3))
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) (pow eps 3))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (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))))
(* 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 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))) eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))
(* -10 (pow x 2))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
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 3) (pow eps 3))))))
(* -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))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) 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)
(* -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))))
(* 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 x 2) eps))
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps))
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps))
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))
(* -10 (pow x 2))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)))
(* -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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) 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)
(+ (* 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))))
(* 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)))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps))))
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps))))
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps))))
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps))))))
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps))))))
(* -10 (pow x 2))
(* (pow x 2) (- (* -10 (/ x eps)) 10))
(* (pow x 2) (- (* -10 (/ x eps)) 10))
(* (pow x 2) (- (* -10 (/ x eps)) 10))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (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 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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 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 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 x 3) (pow eps 2)))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 3) (pow eps 2)))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x)))))
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x)))))
(* -10 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* 10 (/ (pow x 3) (pow eps 3)))
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3)))))
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x)))))
(* (pow x 3) (+ (* 5 (/ 1 (* eps (pow x 2)))) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 1 (pow x 3)) (/ 10 (* (pow eps 2) x))))))
(* 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))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) 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))))))))))
(* (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 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 x 3) (pow eps 2)))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 3) (pow eps 2)))
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2))))))
(* -10 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x)))))
(* 10 (/ (pow x 3) (pow eps 3)))
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3))))))
(* 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))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) eps))
(* -10 (/ (pow x 3) 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))))
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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) eps) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) 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 (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) eps) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) 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 (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) 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 eps (/.f64 eps x)) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(*.f64 (*.f64 eps (/.f64 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) eps) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) 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 (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) 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 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) eps) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) 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 (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
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(* (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))))))))))
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(* 5 (* eps (pow x 4)))
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -10 (/ (pow x 3) eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64))
(* -10 (/ (pow x 3) eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64))
(* -10 (/ (pow x 3) eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64))
(* -10 (/ (pow x 3) eps))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 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 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))

rewrite180.0ms (2.2%)

Memory
45.0MiB live, 268.8MiB allocated
Rules
5 754×lower-*.f32
5 734×lower-*.f64
3 988×lower-fma.f32
3 976×lower-fma.f64
3 542×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044355
077355
1292340
22283340
08628336
Stop Event
iter limit
node limit
iter limit
Counts
24 → 417
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 (*.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 (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))
(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)))
(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)))
(+.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))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(*.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)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #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 (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))))
Outputs
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eval207.0ms (2.5%)

Memory
-54.5MiB live, 187.8MiB allocated
Compiler

Compiled 24 580 to 2 959 computations (88% saved)

prune33.0ms (0.4%)

Memory
8.4MiB live, 83.1MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 00781 015
Fresh134
Picked325
Done101
Total1 012131 025
Accuracy
100.0%
Counts
1 025 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.0%
#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))))
80.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
33.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
70.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
80.6%
#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)))
80.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
80.8%
#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 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
67.3%
#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))
67.3%
#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(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps))
67.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
80.8%
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
Compiler

Compiled 507 to 346 computations (31.8% saved)

simplify194.0ms (2.3%)

Memory
-11.4MiB live, 147.0MiB 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 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)
cost-diff0
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
cost-diff320
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)))
cost-diff0
(*.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
#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 (*.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
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)
cost-diff0
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
Rules
15 594×lower-fma.f32
15 586×lower-fma.f64
3 650×lower-*.f32
3 602×lower-*.f64
2 168×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072760
0104760
1191728
2392715
3964715
42170701
54545701
67403701
08134684
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps)
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
x
(+.f64 x eps)
eps
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(*.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 (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)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)
(*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps)
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) eps))
eps
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
x
(*.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)
(+.f64 x eps)
#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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)
(*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps)
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))
(fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
#s(literal 10 binary64)
(*.f64 x x)
x
(+.f64 x eps)
(+.f64 eps x)
eps
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(*.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 (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)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps 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)
(*.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 (+.f64 eps 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))
#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 (+.f64 eps 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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps 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 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps 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)))
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps 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 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 eps (+.f64 x eps))
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 x eps)
(+.f64 eps x)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps)))
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps))
(*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps)
(*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x)
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)
(*.f64 eps (*.f64 #s(literal 5 binary64) eps))
(*.f64 (*.f64 #s(literal 5 binary64) eps) eps)
eps
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 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))
#s(literal 10 binary64)
(*.f64 x x)
(+.f64 x eps)
(+.f64 eps 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

localize247.0ms (3%)

Memory
21.2MiB live, 295.4MiB 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)
accuracy0.08203125
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy12.580443384633758
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
accuracy0.14453125
(*.f64 eps (*.f64 #s(literal 5 binary64) eps))
accuracy0.2051163086106521
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy8.779553723264401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
accuracy12.26708144884996
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))
accuracy0.11328125
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)
accuracy0.13671875
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
accuracy0.26916754138909577
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
accuracy12.212624653717137
#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))
accuracy0.078125
(*.f64 (*.f64 x eps) eps)
accuracy0.12655759254663357
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
accuracy12.212624653717137
#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))
accuracy15.70899754722028
#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))
accuracy0.109375
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps)
accuracy0.109375
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
accuracy0.2051163086106521
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy8.779553723264401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
Samples
135.0ms199×0valid
35.0ms15×2valid
35.0ms42×1valid
Compiler

Compiled 494 to 60 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 88.0ms (54.2% of total)
ival-pow: 22.0ms (13.6% of total)
ival-neg: 21.0ms (12.9% of total)
ival-add: 13.0ms (8% of total)
adjust: 11.0ms (6.8% of total)
ival-div: 6.0ms (3.7% 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)

series76.0ms (0.9%)

Memory
-22.1MiB live, 140.5MiB allocated
Counts
27 → 600
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) (patch (*.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 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) #<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 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<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 eps (*.f64 #s(literal 5 binary64) eps)) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) #<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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ())
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#s(alt (* 5 (pow x 4)) (taylor -inf x) (#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 (* 5 (pow x 4)) (taylor -inf x) (#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 (* 5 (pow x 4)) (taylor -inf x) (#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 x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#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 (* 5 (* (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) x)) (taylor -inf x) (#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 (* 10 (* (pow eps 2) x)) (taylor -inf x) (#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 (* 10 (* (pow eps 2) x)) (taylor -inf x) (#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 (* 10 (* (pow eps 2) x)) (taylor -inf x) (#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 (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<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 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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps)))
7.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps)))
7.0ms
x
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps)))
4.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps)))
4.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps)))

simplify382.0ms (4.6%)

Memory
11.6MiB live, 238.9MiB allocated
Algorithm
egg-herbie
Rules
13 682×lower-fma.f64
13 682×lower-fma.f32
6 070×lower-*.f64
6 070×lower-*.f32
4 116×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05279407
118798855
268518787
081248249
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 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 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)))))
(* 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 x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 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 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ eps (* 5 x)))
(* (pow eps 2) (+ eps (* 5 x)))
(* (pow eps 2) (+ 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 (* eps x))
(* eps (+ (* 10 eps) (* 10 x)))
(* eps (+ (* 10 eps) (* 10 x)))
(* eps (+ (* 10 eps) (* 10 x)))
(* 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 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (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)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (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))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (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)))))))))
(* 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) (+ (* 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)))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(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))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 3)
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 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 (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) 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)))))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 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)))
(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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 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)))
(* 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) (+ (* -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))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1)))
(* 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 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) 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)))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* 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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(pow eps 4)
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) (pow eps 4))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 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 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 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))
(* 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)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(pow eps 3)
(+ (* 5 (* (pow eps 2) x)) (pow eps 3))
(+ (* 5 (* (pow eps 2) x)) (pow eps 3))
(+ (* 5 (* (pow eps 2) x)) (pow eps 3))
(* 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 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) 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 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 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (+ (* 10 (/ (pow eps 2) x)) (/ (pow eps 4) (pow x 3))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* 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))))))
(* 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 x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (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 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) 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))))))))))
(* 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)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x)))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x)))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) 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 (* 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 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))))))
(* (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 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) 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) (+ (* -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))))
(* 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 x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* (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 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) 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)
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 5 (* (pow eps 2) x))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) 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 (* 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 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)))
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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* 10 (* (pow eps 2) (pow x 3)))
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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))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) 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)))
(* (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 eps (/.f64 eps x) 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 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (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 eps (/.f64 eps x) 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 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(*.f64 (neg.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(*.f64 (neg.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* 5 (* eps (pow x 4)))
(*.f64 (*.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)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 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))
(* 5 (* (pow eps 2) x))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(* (pow eps 2) x)
(*.f64 (*.f64 x eps) eps)
(* (pow eps 2) x)
(*.f64 (*.f64 x eps) eps)
(* (pow eps 2) x)
(*.f64 (*.f64 x eps) eps)
(* (pow eps 2) x)
(*.f64 (*.f64 x eps) eps)
(* 10 (* eps x))
(*.f64 (*.f64 x eps) #s(literal 10 binary64))
(* -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)
(* -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 3))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64)))

rewrite258.0ms (3.1%)

Memory
11.4MiB live, 251.3MiB allocated
Rules
5 954×lower-*.f32
5 906×lower-*.f64
4 772×lower-fma.f32
4 764×lower-fma.f64
3 242×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072641
0104641
1360609
22640609
08662599
Stop Event
iter limit
node limit
iter limit
Counts
27 → 172
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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 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)
#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)
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)
#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)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))
(*.f64 (*.f64 x eps) eps)
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x)
(*.f64 eps (*.f64 #s(literal 5 binary64) eps))
Outputs
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eval119.0ms (1.4%)

Memory
-10.8MiB live, 121.2MiB allocated
Compiler

Compiled 16 004 to 1 802 computations (88.7% saved)

prune151.0ms (1.8%)

Memory
-10.2MiB live, 303.6MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New77612788
Fresh336
Picked235
Done022
Total78120801
Accuracy
100.0%
Counts
801 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.0%
#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))))
80.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
33.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
80.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
80.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
80.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
80.8%
#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 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps))
80.3%
#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 #s(literal 10 binary64) eps) eps))) x) x)) eps))
67.3%
#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 eps) #s(literal 10 binary64))) x)) eps))
67.3%
#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 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps))
80.6%
#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 (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps))
67.3%
#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 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
67.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
67.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
80.8%
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
80.8%
#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 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
Compiler

Compiled 676 to 467 computations (30.9% saved)

simplify185.0ms (2.2%)

Memory
5.6MiB live, 236.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))
cost-diff0
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))
cost-diff0
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
cost-diff320
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)
cost-diff0
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x))
cost-diff0
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps))
cost-diff0
(*.f64 (*.f64 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps))
cost-diff0
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)
cost-diff0
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
cost-diff0
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
cost-diff6144
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)
Rules
16 822×lower-fma.f32
16 814×lower-fma.f64
4 144×lower-*.f32
4 092×lower-*.f64
2 400×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088994
0123990
1246940
2517928
31096928
42492920
55165920
08061886
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))
(*.f64 (+.f64 eps x) #s(literal 10 binary64))
(+.f64 eps x)
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps)
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
#s(literal 5 binary64)
(*.f64 eps eps)
eps
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 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 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 eps) #s(literal 10 binary64))) x))
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
x
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x))
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))
#s(literal 5 binary64)
x
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)))
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(*.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 (*.f64 eps eps) (+.f64 x eps))
(*.f64 eps eps)
(+.f64 x eps)
#s(literal 10 binary64)
(*.f64 x x)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) eps) (*.f64 #s(literal 10 binary64) x)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)
(*.f64 (*.f64 (*.f64 (+.f64 eps x) x) eps) (*.f64 #s(literal 10 binary64) x))
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x))
(*.f64 (+.f64 eps x) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(+.f64 eps x)
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps)))
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps))
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps)
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps)
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64)))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 eps eps)
eps
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 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 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 x (*.f64 (*.f64 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 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 x (*.f64 (*.f64 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 eps) #s(literal 10 binary64)) x) x))
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
x
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x))
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x))
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x))
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))
#s(literal 5 binary64)
x
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps))
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps)
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)))
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 x eps)
(*.f64 eps x)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))
(*.f64 (*.f64 eps eps) (+.f64 x eps))
(*.f64 (*.f64 (+.f64 eps x) eps) eps)
(*.f64 eps eps)
(+.f64 x eps)
(+.f64 eps x)
#s(literal 10 binary64)
(*.f64 x x)

localize401.0ms (4.8%)

Memory
-2.1MiB live, 251.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 (*.f64 eps eps) (+.f64 x eps))
accuracy0.13761257300974952
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))
accuracy0.2285538086106521
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
accuracy12.212624653717137
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
accuracy0.11328125
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)
accuracy0.1328125
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)
accuracy11.517987873835677
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x))
accuracy12.212624653717137
#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 (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps))
accuracy0.0703125
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
accuracy0.19140625
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy12.212624653717137
#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 eps) #s(literal 10 binary64))) x)) eps))
accuracy15.70899754722028
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))
accuracy0.18035126953688402
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
accuracy8.779553723264401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
accuracy12.26708144884996
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))
accuracy19.816872074340566
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))
accuracy0.109375
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
accuracy0.13671875
(*.f64 (+.f64 eps x) #s(literal 10 binary64))
accuracy0.1484375
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))
accuracy8.779553723264401
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
Samples
158.0ms194×0valid
123.0ms44×1valid
37.0ms18×2valid
Compiler

Compiled 563 to 76 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 288.0ms
ival-mult: 216.0ms (75% of total)
ival-pow: 36.0ms (12.5% of total)
ival-add: 17.0ms (5.9% of total)
adjust: 9.0ms (3.1% of total)
ival-div: 6.0ms (2.1% of total)
ival-sub: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series159.0ms (1.9%)

Memory
7.5MiB live, 81.0MiB allocated
Counts
31 → 720
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) (patch (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) (patch (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 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 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) (patch (*.f64 (*.f64 x (*.f64 (*.f64 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) (patch (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) (patch #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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) (patch #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (patch (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (patch (*.f64 (+.f64 eps x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) (patch #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (patch (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) (patch #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x eps) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) (+.f64 x eps)) (patch (*.f64 (*.f64 eps eps) (+.f64 x eps)) #<representation binary64>) () ())
Outputs
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
32.0ms
x
@inf
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4.0ms
eps
@-inf
((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps 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) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps)))
4.0ms
x
@-inf
((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps 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) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps)))
4.0ms
eps
@inf
((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps 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) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps)))
4.0ms
eps
@0
((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ 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)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps 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) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps)))

simplify425.0ms (5.1%)

Memory
6.7MiB live, 320.3MiB allocated
Algorithm
egg-herbie
Rules
13 332×lower-fma.f64
13 332×lower-fma.f32
6 406×lower-*.f64
6 406×lower-*.f32
4 866×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056011193
1203410583
2723610510
080619861
Stop Event
iter limit
node limit
Counts
720 → 720
Calls
Call 1
Inputs
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 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))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ eps (* 5 x)))
(* (pow eps 2) (+ eps (* 5 x)))
(* (pow eps 2) (+ 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))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 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)))))
(* 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 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* 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)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* 10 (pow 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)))
(* 10 x)
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 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 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) x)
(* (pow eps 2) (+ eps x))
(* (pow eps 2) (+ eps x))
(* (pow eps 2) (+ eps x))
(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))) (* 10 (/ (pow x 3) (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)))))))))
(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))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(pow eps 3)
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 1 (* 5 (/ 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) (+ 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))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 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) (+ (* 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 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (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 (* 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 eps)
(* eps (+ 10 (* 10 (/ x eps))))
(* eps (+ 10 (* 10 (/ x eps))))
(* eps (+ 10 (* 10 (/ x eps))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 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 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)))))
(* 10 (* eps x))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ x eps)))
(* (pow eps 3) (+ 1 (/ x eps)))
(* (pow eps 3) (+ 1 (/ x eps)))
(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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 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)))
(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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -5 (/ 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)))
(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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) 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 (* (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) (+ (* -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 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* -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 (* 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 eps)
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 5 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 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 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)))
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1)))
(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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(pow eps 3)
(+ (* 5 (* (pow eps 2) x)) (pow eps 3))
(+ (* 5 (* (pow eps 2) x)) (pow eps 3))
(+ (* 5 (* (pow eps 2) x)) (pow eps 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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* 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) (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 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 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 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 (* 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 eps)
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* 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))
(* 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)))))
(* 10 (* eps x))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(pow eps 3)
(+ (* (pow eps 2) x) (pow eps 3))
(+ (* (pow eps 2) x) (pow eps 3))
(+ (* (pow eps 2) x) (pow eps 3))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (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))))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x)))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x)))
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) 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 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 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))))))
(* 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))))))
(* 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 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (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))))
(* 10 x)
(* x (+ 10 (* 10 (/ eps x))))
(* x (+ 10 (* 10 (/ eps x))))
(* x (+ 10 (* 10 (/ eps x))))
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 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 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* (pow eps 2) x))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow eps 2) x)
(* x (+ (/ (pow eps 3) x) (pow eps 2)))
(* x (+ (/ (pow eps 3) x) (pow eps 2)))
(* x (+ (/ (pow eps 3) x) (pow eps 2)))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) 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 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 5 (* (pow eps 2) x))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x)))))
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) 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 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) 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) (+ (* -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))))
(* 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 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 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)))
(* 10 x)
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) x))
(* 10 (* (pow eps 2) 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 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 10 (* (pow eps 2) x))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2)))))
Outputs
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x) x) (*.f64 eps eps))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps)
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(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
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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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(* (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))))
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(* 5 (* eps (pow x 4)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) 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 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
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(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 10 x)
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(* -1 (* x (- (* -10 (/ eps x)) 10)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64)))
(* 10 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64)))
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(* 10 (* (pow eps 2) x))
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x)
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(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x)
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(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x)
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(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x)
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(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))
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(* 5 (pow x 2))
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(* (pow x 2) (+ 5 (* 10 (/ eps x))))
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(* (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 (* 10 (/ eps x))))
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* 5 (* eps x))
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(* 5 (* eps x))
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(* 10 (* (pow eps 2) x))
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(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x)
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(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x)
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(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)
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(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)

rewrite204.0ms (2.5%)

Memory
-13.1MiB live, 283.4MiB allocated
Rules
6 902×lower-*.f32
6 850×lower-*.f64
6 248×lower-fma.f32
6 240×lower-fma.f64
2 748×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088884
0123881
1450831
23338831
09204806
Stop Event
iter limit
node limit
iter limit
Counts
31 → 256
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps 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 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 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 eps) #s(literal 10 binary64))) x))
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) 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 (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps))
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x))
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))
(*.f64 (+.f64 eps x) #s(literal 10 binary64))
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))
(*.f64 #s(literal 5 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x))
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)
(*.f64 (*.f64 x eps) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))
(*.f64 (*.f64 eps eps) (+.f64 x eps))
Outputs
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eval119.0ms (1.4%)

Memory
1.4MiB live, 308.0MiB allocated
Compiler

Compiled 21 752 to 2 569 computations (88.2% saved)

prune172.0ms (2.1%)

Memory
-11.0MiB live, 276.2MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New9688976
Fresh4610
Picked235
Done235
Total97620996
Accuracy
100.0%
Counts
996 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
86.0%
#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))))
80.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
33.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
80.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
80.3%
#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 #s(literal 10 binary64) eps) eps))) x) x)) eps))
67.3%
#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 eps) #s(literal 10 binary64))) x)) eps))
67.3%
#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 #s(literal 10 binary64) eps) eps)) x)) eps))
80.3%
#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 (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps))
67.3%
#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 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps))
86.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
86.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
67.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps)))
67.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
80.8%
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
80.8%
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
80.8%
#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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x)))
80.6%
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x))))
80.3%
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
Compiler

Compiled 1 070 to 529 computations (50.6% saved)

regimes37.0ms (0.4%)

Memory
19.2MiB live, 56.2MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (/.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 (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 (/.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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 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))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))
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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

15.0ms
eps
11.0ms
x
9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.8%3x
97.9%3eps
99.6%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)

regimes13.0ms (0.2%)

Memory
-15.1MiB live, 22.4MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (/.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 (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 (/.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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (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)) (*.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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.9%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)

regimes19.0ms (0.2%)

Memory
36.1MiB live, 36.1MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (/.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 (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 (/.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)) (*.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 (/.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

2 calls:

9.0ms
x
8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.7%3x
98.8%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)

regimes23.0ms (0.3%)

Memory
-18.3MiB live, 20.4MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (/.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 (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))))
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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) 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
98.7%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
18.6MiB live, 18.6MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
Calls

1 calls:

7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.7%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)

regimes40.0ms (0.5%)

Memory
-5.4MiB live, 41.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))
Calls

2 calls:

30.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
98.7%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)

regimes18.0ms (0.2%)

Memory
-5.4MiB live, 31.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 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)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))
Calls

2 calls:

9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
98.7%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)

regimes22.0ms (0.3%)

Memory
5.9MiB live, 43.3MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))))
#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 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps)))
Outputs
#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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x)))
Calls

3 calls:

8.0ms
x
7.0ms
eps
6.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
80.8%1eps
80.8%1x
80.8%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)

regimes16.0ms (0.2%)

Memory
-10.3MiB live, 26.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.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 #s(literal 10 binary64) eps) eps))) x) x)) eps))
Outputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x))))
Calls

3 calls:

7.0ms
x
5.0ms
eps
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
80.6%1eps
80.6%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
80.6%1x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.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 x (*.f64 eps (*.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 #s(literal 10 binary64) eps) 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 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 x eps) eps) #s(literal 10 binary64)) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps))
Outputs
#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 (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps))
Calls

3 calls:

4.0ms
x
4.0ms
eps
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
80.3%1x
80.3%1eps
80.3%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)

regimes12.0ms (0.1%)

Memory
-38.1MiB live, 8.5MiB allocated
Accuracy

Total -8.5b remaining (-67.1%)

Threshold costs -8.5b (-67.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 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 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps))
Outputs
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
Calls

3 calls:

8.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
80.3%1x
80.3%1eps
80.3%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
3.0MiB live, 3.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.29933281e-315
0.0ms
-1.3755e-320
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.29933281e-315
0.0ms
-1.3755e-320
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
2.29933281e-315
0.0ms
-1.3755e-320
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
2.29933281e-315
0.0ms
-1.3755e-320
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.29933281e-315
0.0ms
-1.3755e-320
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.29933281e-315
0.0ms
-1.3755e-320
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.29933281e-315
0.0ms
-1.3755e-320
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

simplify49.0ms (0.6%)

Memory
8.4MiB live, 46.9MiB allocated
Algorithm
egg-herbie
Rules
80×*-commutative-binary64-*.f64
26×+-commutative-binary64-+.f64
20×sub-neg-binary64-neg.f64-+.f64--.f64
18×neg-sub0-binary64--.f64-neg.f64
18×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441268
11891268
22021268
32191268
42331268
52411268
62451268
72461268
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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) 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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) 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))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x)))
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) 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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) 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))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #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 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x)))
#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 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x)))
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x))))
#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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.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 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) 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 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x))))

soundness1.6s (19.3%)

Memory
-9.3MiB live, 754.1MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
13 758×lower-fma.f64
13 758×lower-fma.f32
13 682×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056011193
1203410583
2723610510
080619861
05279407
118798855
268518787
081248249
072641
0104641
1360609
22640609
08662599
02451372
18171243
228551056
08390988
05247610
118047125
264027060
081206641
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 724 to 258 computations (64.4% saved)

preprocess97.0ms (1.2%)

Memory
24.3MiB live, 97.2MiB allocated
Compiler

Compiled 1 212 to 214 computations (82.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...