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

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.2s (13.8%)

Memory
60.0MiB live, 1 695.6MiB allocated
Samples
567.0ms6 730×0valid
194.0ms1 245×1valid
81.0ms281×2valid
Precisions
Click to see histograms. Total time spent on operations: 621.0ms
ival-pow: 328.0ms (52.8% of total)
ival-<=: 92.0ms (14.8% of total)
ival-add: 64.0ms (10.3% of total)
adjust: 51.0ms (8.2% of total)
ival-sub: 45.0ms (7.3% of total)
ival-and: 20.0ms (3.2% of total)
exact: 18.0ms (2.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain97.0ms (1.1%)

Memory
-0.3MiB live, 115.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
301(-2.0123594670817424e-49 -1.2596807187595768e-129)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)))cancellation310
Confusion
Predicted +Predicted -
+300
-1225
Precision
0.967741935483871
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3000
-10225
Precision?
0.967741935483871
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms418×0valid
11.0ms68×1valid
5.0ms26×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 19.0ms (64.9% of total)
adjust: 3.0ms (10.3% of total)
ival-add: 3.0ms (10.3% of total)
ival-sub: 3.0ms (10.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess151.0ms (1.8%)

Memory
-21.9MiB live, 21.4MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.8%
(-.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)

simplify15.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB 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))

localize27.0ms (0.3%)

Memory
21.8MiB live, 21.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.015625
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy6.487045546771129
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
14.0ms209×0valid
5.0ms34×1valid
3.0ms13×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 9.0ms (64.6% of total)
ival-add: 2.0ms (14.4% of total)
adjust: 1.0ms (7.2% of total)
ival-sub: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
-28.7MiB live, 9.4MiB 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
25.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
2.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms
eps
@-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))

simplify235.0ms (2.7%)

Memory
22.9MiB live, 148.8MiB allocated
Algorithm
egg-herbie
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite224.0ms (2.6%)

Memory
-23.5MiB live, 168.2MiB allocated
Rules
4 520×lower-*.f64
4 520×lower-*.f32
3 728×lower-fma.f64
3 728×lower-fma.f32
3 216×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval41.0ms (0.5%)

Memory
34.6MiB live, 70.0MiB allocated
Compiler

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

prune12.0ms (0.1%)

Memory
-9.5MiB live, 28.0MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3528360
Fresh000
Picked011
Done000
Total3529361
Accuracy
100.0%
Counts
361 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
89.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
89.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
89.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
85.2%
#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))))
80.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.1%
#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 221 to 179 computations (19% saved)

simplify142.0ms (1.6%)

Memory
-5.6MiB live, 110.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 eps x)
cost-diff0
(-.f64 x eps)
cost-diff0
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64))
cost-diff0
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
cost-diff128
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
cost-diff320
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
cost-diff0
(/.f64 x eps)
cost-diff0
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
cost-diff0
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
Rules
8 756×lower-fma.f32
8 750×lower-fma.f64
3 538×lower-*.f32
3 528×lower-*.f64
1 946×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038283
065287
1104273
2186268
3413268
4854268
51662268
63313268
75433268
87567268
08140260
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 eps x)
eps
x
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal -1 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
(neg.f64 eps)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64))
(*.f64 (-.f64 x eps) (+.f64 eps x))
(-.f64 x eps)
x
eps
(+.f64 eps x)
#s(literal 5 binary64)
(pow.f64 (-.f64 x eps) #s(literal -5 binary64))
#s(literal -5 binary64)
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 eps x)
(+.f64 x eps)
eps
x
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal -1 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(*.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x)
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
(*.f64 (*.f64 #s(literal 10 binary64) x) (/.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -10 binary64)
(neg.f64 eps)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (pow.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64))
(pow.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) #s(literal 5 binary64))
(*.f64 (-.f64 x eps) (+.f64 eps x))
(fma.f64 (neg.f64 eps) eps (*.f64 x x))
(-.f64 x eps)
x
eps
(+.f64 eps x)
(+.f64 x eps)
#s(literal 5 binary64)
(pow.f64 (-.f64 x eps) #s(literal -5 binary64))
#s(literal -5 binary64)
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))

localize273.0ms (3.2%)

Memory
20.5MiB live, 262.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
accuracy0.01171875
(pow.f64 (-.f64 x eps) #s(literal -5 binary64))
accuracy0.15794760745286218
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64))
accuracy58.13946666278863
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
accuracy0.2578125
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
accuracy6.736159637756621
#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))))
accuracy9.662774386529243
(*.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)))
accuracy14.811047476169762
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
accuracy0
(/.f64 x eps)
accuracy0.13671875
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy0.3779420353412345
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy6.830018942250204
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy6.909461724583563
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.015625
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
accuracy0.07421875
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
accuracy0.45916890593100546
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
accuracy6.487045546771129
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
70.0ms17×2valid
66.0ms102×1valid
61.0ms137×0valid
Compiler

Compiled 257 to 39 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-pow: 65.0ms (54.1% of total)
ival-mult: 14.0ms (11.7% of total)
adjust: 12.0ms (10% of total)
ival-div: 10.0ms (8.3% of total)
ival-add: 10.0ms (8.3% of total)
ival-sub: 5.0ms (4.2% of total)
ival-neg: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.8%)

Memory
-13.5MiB live, 98.0MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) (patch (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (patch (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (patch (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x eps) (patch (-.f64 x eps) #<representation binary64>) () ())
#s(alt (+.f64 eps x) (patch (+.f64 eps x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) (patch (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (patch (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 x #s(literal 5 binary64))) (patch (neg.f64 (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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps 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)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps 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)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
13.0ms
eps
@0
((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5)))
12.0ms
x
@0
((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5)))
7.0ms
x
@inf
((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5)))
6.0ms
x
@-inf
((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5)))
5.0ms
eps
@inf
((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5)))

simplify277.0ms (3.2%)

Memory
19.9MiB live, 176.7MiB allocated
Algorithm
egg-herbie
Rules
8 082×lower-fma.f64
8 082×lower-fma.f32
6 648×lower-*.f64
6 648×lower-*.f32
6 248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099910425
1350010147
084339482
Stop Event
iter limit
node limit
Counts
504 → 495
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))))
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4))))
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow 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))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 10 (/ (pow x 2) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 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 10)
(+ (* eps (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4))))) (pow x 10))
(+ (* eps (+ (* eps (+ (* 2 (* (pow x 5) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 4)) (pow x 4))))) (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4)))))) (pow x 10))
(+ (* eps (+ (* eps (+ (* 2 (* (pow x 5) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (+ (* eps (+ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 4 (pow x 4)) (pow x 4))) (+ (* (pow x 5) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (pow x 5) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 4)) (pow x 4)))))) (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4)))))) (pow x 10))
x
(+ x (* -1 eps))
(+ x (* -1 eps))
(+ x (* -1 eps))
x
(+ eps x)
(+ eps x)
(+ eps x)
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ 1 (pow x 5))
(+ (* 5 (/ eps (pow x 6))) (/ 1 (pow x 5)))
(+ (* eps (+ (* -1 (* eps (+ (* 4 (/ 1 (pow x 7))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 6 (/ 1 (pow x 7))))))) (* 5 (/ 1 (pow x 6))))) (/ 1 (pow x 5)))
(+ (* eps (+ (* eps (- (* eps (- (* 4 (/ 1 (pow x 8))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 10 (/ 1 (pow x 7))))) (pow x 5))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow x 10))) (* 5 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (pow x 11))))))) (+ (* 4 (/ 1 (pow x 7))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 6 (/ 1 (pow x 7))))))) (* 5 (/ 1 (pow x 6))))) (/ 1 (pow x 5)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(/ 1 (pow eps 5))
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 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)))))))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(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)))))))))
(* -1 (pow eps 10))
(* (pow eps 10) (- (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* 4 (/ x eps)) (/ x eps))) 1))
(* (pow eps 10) (- (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (/ x eps) (/ (pow (+ x (* 4 x)) 2) (pow eps 2)))))))) 1))
(* (pow eps 10) (- (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (pow eps 3))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (/ x eps) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow eps 3)) (+ (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 3)) (/ (pow (+ x (* 4 x)) 2) (pow eps 2))))))))))))) 1))
(* -1 eps)
(* eps (- (/ x eps) 1))
(* eps (- (/ x eps) 1))
(* eps (- (/ x eps) 1))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ -1 (pow eps 5))
(/ (- (* -1 (/ (+ x (* 4 x)) eps)) 1) (pow eps 5))
(/ (- (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2))) (pow eps 2))) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (pow eps 5))
(/ (- (* -1 (/ (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2))))))) (pow eps 3))) (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (/ x eps) (/ (pow (+ x (* 4 x)) 2) (pow eps 2)))))))) (pow eps 5))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(/ 1 (pow eps 5))
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -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)))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(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)))
(* -1 (pow eps 10))
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (* 4 x))) eps)) 1))
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* -1 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (* 4 x)))) eps)) 1))
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* -1 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (+ (* -1 (/ (+ (* -1 (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) eps)) (pow (+ x (* 4 x)) 2))))) eps)) (* 4 x)))) eps)) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ x eps)))))
(* -1 (* eps (+ 1 (* -1 (/ x eps)))))
(* -1 (* eps (+ 1 (* -1 (/ x eps)))))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(/ -1 (pow eps 5))
(* -1 (/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5)))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps)))) (+ x (* 4 x))) eps))) (pow eps 5)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps)) (+ (* 4 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps)))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) eps)) (+ x (* 4 x))) eps))) (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))
(/ 1 (pow eps 5))
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5)))
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (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)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* 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)
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(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))
(* -1 (pow eps 10))
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4))))))
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (+ (* (pow eps 5) (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (pow (+ (* 4 (pow eps 4)) (pow eps 4)) 2)))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))))))
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (* 4 (pow eps 4)) (pow eps 4))) (+ (* (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* 4 (pow eps 4)) (pow eps 4))) (* (pow eps 5) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))) (+ (* (pow eps 5) (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (pow (+ (* 4 (pow eps 4)) (pow eps 4)) 2))))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))))))
(* -1 eps)
(- x eps)
(- x eps)
(- x eps)
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(/ -1 (pow eps 5))
(- (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5)))
(- (* x (- (* x (- (* 4 (/ 1 (pow eps 7))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (+ (* 4 (pow eps 4)) (pow eps 4)) (- (* 4 (/ 1 (pow eps 7))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (pow eps 5))) (+ (* 5 (/ (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 11))) (* 10 (/ 1 (pow eps 8))))))) (* 4 (/ 1 (pow eps 7)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (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))))))))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))))))) (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (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 10)
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* 4 (/ eps x)) (/ eps x))))))
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 16 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* (+ eps (* 4 eps)) (+ (* -4 eps) (* -1 eps))) (pow x 2))))))))))
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -4 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 16 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (+ (/ (* (+ eps (* 4 eps)) (+ (* -4 eps) (* -1 eps))) (pow x 2)) (+ (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 3)) (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 3))))))))))))))))
x
(* x (+ 1 (* -1 (/ eps x))))
(* x (+ 1 (* -1 (/ eps x))))
(* x (+ 1 (* -1 (/ eps x))))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(/ 1 (pow x 5))
(/ (+ 1 (* -1 (/ (+ (* -4 eps) (* -1 eps)) x))) (pow x 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2)))) (+ (* -4 (/ eps x)) (* -1 (/ eps x)))) (pow x 5))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow eps 3)) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))) (pow x 3)))) (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) (pow x 2))) (+ (* 2 (/ (pow eps 2) (pow x 2))) (* 8 (/ (pow eps 2) (pow x 2)))))))) (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (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))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* 10 (/ (pow x 2) eps))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (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 10)
(* (pow x 10) (+ 1 (+ (* -1 (/ (+ eps (* 4 eps)) x)) (+ (* 4 (/ eps x)) (/ eps x)))))
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x))))) x))))
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (+ (* 4 (/ (pow eps 3) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) x) (+ (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x)))))) x))) x))))
x
(* -1 (* x (- (/ eps x) 1)))
(* -1 (* x (- (/ eps x) 1)))
(* -1 (* x (- (/ eps x) 1)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(/ 1 (pow x 5))
(* -1 (/ (- (* -1 (/ (+ eps (* 4 eps)) x)) 1) (pow x 5)))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5)))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x))) eps (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x))) eps (pow.f64 x #s(literal 4 binary64)))) eps)
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 10 binary64))) eps (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 10 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 5 binary64) (/.f64 x (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 10 binary64))))) eps (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
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(* (pow x 4) (+ eps (* 4 eps)))
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(* (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))))))))
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(pow x 5)
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(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))
(* 10 (/ (pow x 2) eps))
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))
(* 10 (/ (pow x 2) eps))
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (+.f64 (-.f64 eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) x)) (*.f64 #s(literal 4 binary64) eps)) (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 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) eps) (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 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x)))) (neg.f64 x))) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (+.f64 (-.f64 eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) x)) (*.f64 #s(literal 4 binary64) eps)) (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 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) eps) (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 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x)))) (neg.f64 x))) eps) (pow.f64 x #s(literal 4 binary64)))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(* (pow x 10) (+ 1 (+ (* -1 (/ (+ eps (* 4 eps)) x)) (+ (* 4 (/ eps x)) (/ eps x)))))
(*.f64 (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 eps x) (/.f64 (*.f64 #s(literal -5 binary64) eps) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x))))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal -4 binary64) (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) (+.f64 (fma.f64 #s(literal -5 binary64) eps (*.f64 #s(literal 4 binary64) eps)) eps))) x)) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (+ (* 4 (/ (pow eps 3) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) x) (+ (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x)))))) x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (fma.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (*.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) x))))) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))) (neg.f64 x)) (+.f64 (fma.f64 #s(literal -5 binary64) eps (*.f64 #s(literal 4 binary64) eps)) eps)) x)) (pow.f64 x #s(literal 10 binary64)))
x
(* -1 (* x (- (/ eps x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))
(* -1 (* x (- (/ eps x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))
(* -1 (* x (- (/ eps x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 x x))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(*.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))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.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))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.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))) (*.f64 x x))
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 (*.f64 x x) eps))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x))
(/ 1 (pow x 5))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* -1 (/ (+ eps (* 4 eps)) x)) 1) (pow x 5)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) eps) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5)))
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 #s(literal -5 binary64) eps)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) (/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) x) (fma.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (neg.f64 x)))) (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) (neg.f64 x)) (*.f64 #s(literal -5 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))

rewrite216.0ms (2.5%)

Memory
-20.7MiB live, 221.6MiB allocated
Rules
4 478×lower-*.f32
4 468×lower-*.f64
3 550×lower-/.f32
3 542×lower-/.f64
3 158×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038231
065231
1272221
21881213
08161213
Stop Event
iter limit
node limit
iter limit
Counts
22 → 608
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 eps x) #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))
#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)
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)))
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64))
(-.f64 x eps)
(+.f64 eps x)
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps)
(pow.f64 (-.f64 x eps) #s(literal -5 binary64))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 eps #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))))) (neg.f64 eps))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps))) eps)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64))) eps)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64))) (neg.f64 eps))
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64)) eps)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)))) eps)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))) (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps))) eps))
(/.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64)) (neg.f64 eps))
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)) eps)
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)))))
(/.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (fma.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) (neg.f64 eps))
(/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (*.f64 (-.f64 x eps) (+.f64 x eps))) #s(literal -5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -5 binary64)) (pow.f64 (-.f64 eps x) #s(literal -5 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -5 binary64)) (pow.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -5 binary64)) (pow.f64 (fma.f64 (-.f64 x eps) x (*.f64 eps eps)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 (pow.f64 (+.f64 x eps) #s(literal -1 binary64)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -5 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) #s(literal -1 binary64)) #s(literal -5 binary64)))
(*.f64 (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64)))
(pow.f64 (exp.f64 #s(literal -5 binary64)) (log.f64 (-.f64 x eps)))
(pow.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)) #s(literal -5/2 binary64))
(pow.f64 (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 x eps) #s(literal -5 binary64))
(exp.f64 (fma.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64) (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 15 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))

eval438.0ms (5.1%)

Memory
-130.1MiB live, 313.4MiB allocated
Compiler

Compiled 32 137 to 3 841 computations (88% saved)

prune45.0ms (0.5%)

Memory
29.0MiB live, 153.1MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 25881 266
Fresh123
Picked235
Done011
Total1 261141 275
Accuracy
100.0%
Counts
1 275 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
89.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
24.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps)))
84.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
89.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
89.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
85.2%
#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))))
80.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
89.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
89.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
Compiler

Compiled 363 to 279 computations (23.1% saved)

simplify155.0ms (1.8%)

Memory
-25.4MiB live, 90.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps)
cost-diff0
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff704
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 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 (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
cost-diff0
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 5 binary64) eps)
cost-diff0
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 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)))
cost-diff7168
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
Rules
4 678×lower-fma.f32
4 674×lower-fma.f64
3 536×lower-*.f32
3 522×lower-*.f64
2 394×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
057390
083382
1129371
2217356
3378356
4660356
51000346
61789346
72669346
83813346
95456346
106876346
08073346
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(-.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))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
#s(literal 1 binary64)
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (*.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
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps)
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64))
#s(literal 10 binary64)
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))
(-.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))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))))
#s(literal 1 binary64)
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(*.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
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (+.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (+.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) (pow.f64 eps #s(literal 4 binary64)))
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))
(-.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps)
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps)
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x))
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64))
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))
#s(literal 10 binary64)
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))

localize178.0ms (2.1%)

Memory
-7.9MiB live, 207.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19140625
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)
accuracy0.2578125
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps)
accuracy6.736159637756621
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
accuracy9.662774386529243
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.05078125
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
accuracy0.05859375
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0.45916890593100546
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
accuracy9.26169931457811
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))
accuracy0
(pow.f64 eps #s(literal 4 binary64))
accuracy0
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
accuracy0.02734375
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
accuracy6.830018942250204
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0
(*.f64 #s(literal 5 binary64) eps)
accuracy0.04296875
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
accuracy9.50629568582445
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
accuracy0.015625
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy0.07421875
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
accuracy0.45916890593100546
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
accuracy6.487045546771129
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
69.0ms99×1valid
46.0ms137×0valid
18.0ms20×2valid
Compiler

Compiled 272 to 47 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-pow: 39.0ms (37.3% of total)
ival-mult: 21.0ms (20.1% of total)
ival-div: 15.0ms (14.3% of total)
adjust: 13.0ms (12.4% of total)
ival-add: 12.0ms (11.5% of total)
ival-sub: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (1.1%)

Memory
4.6MiB live, 76.4MiB allocated
Counts
24 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#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 #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) (patch #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) (patch (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 4 binary64)) (patch (pow.f64 eps #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())
Outputs
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#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (/ (pow x 2) eps)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
50.0ms
eps
@-inf
((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x))
4.0ms
eps
@inf
((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x))
4.0ms
eps
@0
((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x))
4.0ms
x
@-inf
((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x))
4.0ms
x
@inf
((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x))

simplify236.0ms (2.7%)

Memory
0.7MiB live, 280.9MiB allocated
Algorithm
egg-herbie
Rules
10 812×lower-fma.f64
10 812×lower-fma.f32
6 080×lower-*.f64
6 080×lower-*.f32
4 902×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060510412
120579531
082908950
Stop Event
iter limit
node limit
Counts
528 → 519
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))))
(* 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)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ 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))))
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4))))
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4))))
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 10 (/ (pow x 2) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(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)))))))))
(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)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 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))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 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)))))))))
(/ 1 (pow eps 5))
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 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)))))))))
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)))))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ 1 (pow eps 5))
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 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)))
(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)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* 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)))
(/ 1 (pow eps 5))
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 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)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(/ 1 (pow eps 5))
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(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 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)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(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))
(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))
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 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))
(/ 1 (pow eps 5))
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5)))
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (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 eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(pow eps 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))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(/ 1 (pow eps 5))
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5)))
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ 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))))))))))
(* (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 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)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* 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)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 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 x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))))))) (pow x 4))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(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 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)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (* (pow eps 4) x))
(* -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)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps 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))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (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 x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(/ 1/5 (* eps (pow x 4)))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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)
(* 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 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 (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 (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 (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 (pow.f64 x #s(literal 5 binary64)))
x
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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)
(* 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)
(*.f64 #s(literal 5 binary64) eps)
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(* 5 eps)
(*.f64 #s(literal 5 binary64) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (* (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)
(*.f64 #s(literal 5 binary64) x)
(+ eps (* 5 x))
(fma.f64 #s(literal 5 binary64) x eps)
(+ eps (* 5 x))
(fma.f64 #s(literal 5 binary64) x eps)
(+ eps (* 5 x))
(fma.f64 #s(literal 5 binary64) x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) 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))))
(*.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 (/.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)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x)
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) x)
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) x)
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x)
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x)
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 eps (/.f64 eps (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (*.f64 (*.f64 eps (/.f64 eps (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 6 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) (*.f64 x eps)) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (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)))) (*.f64 x eps)) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) #s(literal 5 binary64)) (*.f64 x eps)) (/.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))))) (neg.f64 x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ 1/5 (* eps (pow x 4)))
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(/ 1/5 (* eps (pow x 4)))
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(/ 1/5 (* eps (pow x 4)))
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(/ 1/5 (* eps (pow x 4)))
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* 10 (/ (pow x 2) eps))
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x)
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x)
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x)

rewrite277.0ms (3.2%)

Memory
33.1MiB live, 261.3MiB allocated
Rules
5 180×lower-fma.f32
5 176×lower-fma.f64
5 046×lower-*.f32
5 032×lower-*.f64
4 334×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057329
083321
1322311
21888299
09182297
Stop Event
iter limit
node limit
iter limit
Counts
24 → 630
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.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)
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) eps)
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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)))
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps)
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(pow.f64 eps #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64))
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(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) #s(literal -1 binary64)) (/.f64 x eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 eps #s(literal -10 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 eps x)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 #s(literal -10 binary64) eps) (/.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (*.f64 #s(literal -10 binary64) (/.f64 x eps)) (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -10 binary64) (/.f64 x eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x x) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) #s(literal -1 binary64) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (pow.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -10 binary64) (*.f64 x x)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x (*.f64 #s(literal 5 binary64) x))
(fma.f64 (/.f64 x eps) (/.f64 (*.f64 #s(literal -10 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 10 binary64) (pow.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 x x) (neg.f64 eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 5 binary64) x (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x))
(fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 x (*.f64 x (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x))
(fma.f64 x #s(literal 5 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))))
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps))
(+.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x) (*.f64 #s(literal 5 binary64) x))
(+.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x))
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))

eval190.0ms (2.2%)

Memory
-8.1MiB live, 201.1MiB allocated
Compiler

Compiled 26 390 to 3 378 computations (87.2% saved)

prune83.0ms (1%)

Memory
-18.0MiB live, 92.3MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 16381 171
Fresh325
Picked235
Done134
Total1 169161 185
Accuracy
100.0%
Counts
1 185 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
89.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
84.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
89.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
85.2%
#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))))
80.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
89.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
89.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
Compiler

Compiled 347 to 264 computations (23.9% saved)

simplify175.0ms (2%)

Memory
4.0MiB live, 126.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))
cost-diff0
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
cost-diff832
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
cost-diff0
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps))
cost-diff0
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 5 binary64) eps)
cost-diff0
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff0
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
cost-diff0
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
Rules
6 380×lower-fma.f32
6 376×lower-fma.f64
4 004×lower-*.f32
3 976×lower-*.f64
2 632×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064482
087479
1154451
2322419
3762419
41636419
52421395
64249391
08038381
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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
eps
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 eps eps)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
#s(literal 1 binary64)
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 5 binary64))
#s(literal 5 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
(/.f64 eps x)
eps
x
#s(literal 5 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps)))
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
#s(literal 10 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
eps
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#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) eps) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 eps eps)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))))
#s(literal 1 binary64)
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
(/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 5 binary64))
#s(literal 5 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))))
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x))
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
(fma.f64 #s(literal 5 binary64) x eps)
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
(-.f64 (/.f64 eps x) #s(literal -5 binary64))
(/.f64 eps x)
eps
x
#s(literal 5 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)

localize280.0ms (3.2%)

Memory
6.8MiB live, 413.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
accuracy0.02734375
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))
accuracy0.1171875
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
accuracy6.830018942250204
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
accuracy0.10546875
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
accuracy0.13738251953688402
(*.f64 (*.f64 x x) #s(literal 5 binary64))
accuracy0.45916890593100546
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
accuracy9.26169931457811
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))
accuracy0
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
accuracy0.0546875
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))
accuracy0.08984375
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps))
accuracy6.830018942250204
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
accuracy0
(*.f64 #s(literal 5 binary64) eps)
accuracy0.04296875
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy0.1015625
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy9.50629568582445
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy0.05078125
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
accuracy0.0859375
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
accuracy0.10775375976844201
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
accuracy6.736159637756621
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
Samples
83.0ms93×1valid
81.0ms142×0valid
31.0ms21×2valid
Compiler

Compiled 302 to 55 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 48.0ms (33% of total)
ival-pow: 38.0ms (26.1% of total)
ival-div: 25.0ms (17.2% of total)
ival-add: 14.0ms (9.6% of total)
adjust: 13.0ms (8.9% of total)
ival-sub: 5.0ms (3.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series102.0ms (1.2%)

Memory
10.4MiB live, 84.7MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) (patch #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) (patch (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) #<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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
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#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt 5 (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
32.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5))
8.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5))
4.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5))
3.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5))
3.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5))

simplify344.0ms (4%)

Memory
-22.9MiB live, 254.3MiB allocated
Algorithm
egg-herbie
Rules
10 360×lower-fma.f64
10 360×lower-fma.f32
6 028×lower-*.f64
6 028×lower-*.f32
4 632×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05708338
119957775
080997272
Stop Event
iter limit
node limit
Counts
540 → 534
Calls
Call 1
Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ 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)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ 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))))
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4))))
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ 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 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* 5 (* eps x))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
5
(+ 5 (/ eps x))
(+ 5 (/ eps x))
(+ 5 (/ 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 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 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))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 3)
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
(* (pow eps 3) (+ 1 (* 5 (/ x eps))))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 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)))))))))
(/ 1 (pow eps 5))
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 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))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(/ eps x)
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(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)))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* 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)))
(/ 1 (pow eps 5))
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* 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) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ 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)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ 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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) 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)))
(/ eps x)
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* eps (+ (* 5 (/ 1 eps)) (/ 1 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)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(pow x 2)
(pow x 2)
(pow x 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))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(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))
(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))
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 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))
(/ 1 (pow eps 5))
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5)))
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 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))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (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))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(/ eps x)
(/ (+ eps (* 5 x)) x)
(/ (+ eps (* 5 x)) x)
(/ (+ eps (* 5 x)) 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 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 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)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 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)))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 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 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* 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 (* eps x))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
5
(+ 5 (/ eps x))
(+ 5 (/ eps x))
(+ 5 (/ eps x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(pow x 2)
(pow x 2)
(pow x 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)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (* (pow eps 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)))))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps 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))))
(/ 1 (* (pow x 4) (+ eps (* 4 eps))))
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps 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))))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (* (pow eps 4) x))
(* -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 (* eps x))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
5
(+ 5 (/ eps x))
(+ 5 (/ eps x))
(+ 5 (/ eps x))
Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #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))))
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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))))
(*.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 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (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)))
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* 5 (* eps x))
(*.f64 (*.f64 #s(literal 5 binary64) eps) x)
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x)))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x)))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x)))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x)
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 (*.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))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 (*.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))) x) x)
(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))
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* 5 (pow x 2))
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(* 5 (pow x 2))
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(* 5 (pow x 2))
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(* 5 (pow x 2))
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
5
#s(literal 5 binary64)
(+ 5 (/ eps x))
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
(+ 5 (/ eps x))
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
(+ 5 (/ eps x))
(+.f64 (/.f64 eps x) #s(literal 5 binary64))

rewrite394.0ms (4.6%)

Memory
11.8MiB live, 211.1MiB allocated
Rules
5 226×lower-*.f32
5 198×lower-*.f64
3 396×lower-fma.f32
3 392×lower-fma.f64
3 156×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064416
087388
1349370
22177366
08109360
Stop Event
iter limit
node limit
iter limit
Counts
25 → 282
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(*.f64 x x)
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 5 binary64) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps))
(fma.f64 #s(literal 5 binary64) x eps)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (fma.f64 #s(literal 5 binary64) x eps)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (*.f64 #s(literal 10 binary64) x) x (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -10 binary64) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 #s(literal -10 binary64) (neg.f64 (*.f64 x x)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(fma.f64 x (neg.f64 (*.f64 #s(literal -10 binary64) x)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(fma.f64 x (*.f64 #s(literal 10 binary64) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(+.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
#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 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (*.f64 eps x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
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(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) eps) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))
(/.f64 (*.f64 eps (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (*.f64 eps (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))
(fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 eps eps))
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 eps (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) eps)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 eps (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))
(*.f64 (*.f64 x x) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) x) x)
(*.f64 #s(literal 5 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 5 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (pow.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))) (*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 25 binary64))) (*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))))
(/.f64 (-.f64 #s(literal 25 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 5 binary64) (/.f64 eps x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64))) (neg.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64)))
(/.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 5 binary64))
(fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal 5 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 eps) #s(literal 5 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 5 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) eps #s(literal 5 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 eps (neg.f64 x)) #s(literal 5 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 5 binary64))
(fma.f64 (neg.f64 eps) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 5 binary64))
(fma.f64 eps (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))) (/.f64 #s(literal 25 binary64) (-.f64 (/.f64 eps x) #s(literal 5 binary64))))
(+.f64 (/.f64 eps x) #s(literal 5 binary64))
(+.f64 #s(literal 5 binary64) (/.f64 eps x))

eval141.0ms (1.6%)

Memory
19.9MiB live, 210.8MiB allocated
Compiler

Compiled 17 369 to 2 223 computations (87.2% saved)

prune73.0ms (0.8%)

Memory
-23.2MiB live, 134.7MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New9268934
Fresh145
Picked325
Done066
Total93020950
Accuracy
100.0%
Counts
950 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
89.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
84.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
89.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
85.1%
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
85.2%
#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))))
80.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
89.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
80.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
89.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
74.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
74.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
Compiler

Compiled 749 to 380 computations (49.3% saved)

regimes191.0ms (2.2%)

Memory
22.0MiB live, 353.8MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x))
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) 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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps)))
Outputs
(-.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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
Calls

3 calls:

93.0ms
x
80.0ms
eps
16.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.1%3x
98.8%3eps
99.5%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)

regimes57.0ms (0.7%)

Memory
2.1MiB live, 160.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x))
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) 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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#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))))
Calls

2 calls:

41.0ms
x
14.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.1%3x
99.1%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)

regimes52.0ms (0.6%)

Memory
-6.1MiB live, 150.7MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x))
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
Calls

2 calls:

39.0ms
x
12.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.1%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
99.0%3x
Compiler

Compiled 10 to 9 computations (10% saved)

regimes35.0ms (0.4%)

Memory
-18.9MiB live, 23.9MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x))
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
Calls

1 calls:

34.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.1%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (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
99.0%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)

regimes14.0ms (0.2%)

Memory
-19.6MiB live, 18.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
Calls

1 calls:

13.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%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)

regimes25.0ms (0.3%)

Memory
33.7MiB live, 70.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
Calls

2 calls:

18.0ms
x
7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.9%3x
98.9%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)

regimes30.0ms (0.3%)

Memory
-21.3MiB live, 64.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
Calls

2 calls:

23.0ms
x
6.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.8%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
98.9%3x
Compiler

Compiled 10 to 9 computations (10% saved)

regimes15.0ms (0.2%)

Memory
4.1MiB live, 43.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
Calls

3 calls:

5.0ms
eps
5.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.1%1eps
85.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%1x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.1%)

Memory
-1.7MiB live, 37.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
Calls

3 calls:

5.0ms
x
4.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.1%1eps
85.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%1x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-11.3MiB live, 27.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
Outputs
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
Calls

3 calls:

5.0ms
eps
4.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.1%1eps
85.1%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.1%1x
Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.1%)

Memory
29.6MiB live, 29.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
74.8%1eps
74.8%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
74.8%1x
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.417766368911014e-307
0.0ms
-4.44825e-318
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch32.0ms (0.4%)

Memory
-6.5MiB live, 75.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.9090138953242548e-35
2.2691128265816953e-35
22.0ms
-1.2170081927326312e-49
-1.489731863214075e-51
Samples
21.0ms139×1valid
1.0ms21×0valid
Compiler

Compiled 254 to 217 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 11.0ms (63.8% of total)
adjust: 3.0ms (17.4% of total)
ival-add: 2.0ms (11.6% of total)
ival-sub: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.417766368911014e-307
0.0ms
-4.44825e-318
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.417766368911014e-307
0.0ms
-4.44825e-318
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch2.0ms (0%)

Memory
-38.0MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.417766368911014e-307
0.0ms
-4.44825e-318
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.417766368911014e-307
0.0ms
-4.44825e-318
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.9090138953242548e-35
2.2691128265816953e-35
1.0ms
-1.2170081927326312e-49
-1.489731863214075e-51
Compiler

Compiled 272 to 202 computations (25.7% saved)

bsearch1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.9090138953242548e-35
2.2691128265816953e-35
1.0ms
-1.2170081927326312e-49
-1.489731863214075e-51
Compiler

Compiled 272 to 202 computations (25.7% saved)

simplify32.0ms (0.4%)

Memory
0.2MiB live, 78.4MiB allocated
Algorithm
egg-herbie
Rules
58×*-commutative-binary64-*.f64
18×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
14×neg-sub0-binary64--.f64-neg.f64
14×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116886
1147886
2156886
3169886
4180886
5187886
6191886
7192886
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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 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)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) (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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) (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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) (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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))))
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #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 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)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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))))))
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
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#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps))))

soundness1.8s (20.7%)

Memory
21.5MiB live, 1 335.8MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
10 812×lower-fma.f64
10 812×lower-fma.f32
10 360×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15220
235020
3354520
0939420
057329
083321
1322311
21888299
09182297
05708338
119957775
080997272
099910425
1350010147
084339482
02451372
18171243
228551056
08390988
064416
087388
1349370
22177366
08109360
060510412
120579531
082908950
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 204 to 625 computations (48.1% saved)

preprocess120.0ms (1.4%)

Memory
22.9MiB live, 97.5MiB allocated
Compiler

Compiled 958 to 192 computations (80% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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