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

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.6s (14.7%)

Memory
46.0MiB live, 2 327.1MiB allocated
Samples
660.0ms6 708×0valid
249.0ms1 263×1valid
74.0ms285×2valid
Precisions
Click to see histograms. Total time spent on operations: 744.0ms
ival-pow: 335.0ms (45% of total)
ival-<=: 134.0ms (18% of total)
ival-add: 98.0ms (13.2% of total)
adjust: 79.0ms (10.6% of total)
ival-sub: 55.0ms (7.4% of total)
ival-and: 20.0ms (2.7% of total)
exact: 19.0ms (2.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain138.0ms (1.3%)

Memory
8.4MiB live, 85.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(-.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)))cancellation330
Confusion
Predicted +Predicted -
+330
-0223
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3300
-00223
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms412×0valid
13.0ms80×1valid
4.0ms20×2valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 20.0ms (66% of total)
adjust: 3.0ms (9.9% of total)
ival-add: 3.0ms (9.9% of total)
ival-sub: 3.0ms (9.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess56.0ms (0.5%)

Memory
-27.9MiB live, 16.4MiB 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)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize30.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.030292529305326048
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy7.111776150646917
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
14.0ms206×0valid
6.0ms40×1valid
2.0ms10×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 10.0ms (66% of total)
adjust: 2.0ms (13.2% of total)
ival-add: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory
-30.6MiB live, 7.5MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
73.0ms
x
@-inf
(- (pow (+ x eps) 5) (pow x 5))
2.0ms
eps
@0
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@0
(- (pow (+ x eps) 5) (pow x 5))
0.0ms
eps
@inf
(- (pow (+ x eps) 5) (pow x 5))

simplify358.0ms (3.4%)

Memory
-32.5MiB live, 395.6MiB allocated
Algorithm
egg-herbie
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451372
18171243
228601056
08403988
Stop Event
iter limit
node limit
Counts
84 → 78
Calls
Call 1
Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 4 binary64)))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x)))))))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

rewrite250.0ms (2.4%)

Memory
22.5MiB live, 417.8MiB allocated
Rules
4 520×lower-*.f64
4 520×lower-*.f32
3 728×lower-fma.f64
3 728×lower-fma.f32
3 216×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15220
235020
3354520
0939420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 282
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))
Outputs
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
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(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x)))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))

eval59.0ms (0.6%)

Memory
5.0MiB live, 140.8MiB allocated
Compiler

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

prune55.0ms (0.5%)

Memory
-5.8MiB live, 155.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3519360
Fresh000
Picked101
Done000
Total3529361
Accuracy
100.0%
Counts
361 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
88.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
80.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
76.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 342 to 204 computations (40.4% saved)

simplify652.0ms (6.1%)

Memory
-12.5MiB live, 653.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff320
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
cost-diff448
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff512
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
cost-diff448
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
cost-diff704
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff0
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Rules
38 584×lower-fma.f32
38 576×lower-fma.f64
6 142×lower-*.f32
6 116×lower-*.f64
2 368×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040341
069323
1139319
2328304
3785300
41945297
53965297
08287289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(/.f64 x eps)
x
#s(literal 1 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
eps
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 x x)
#s(literal 10 binary64)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(/.f64 x eps)
x
#s(literal 1 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
#s(literal 4 binary64)
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(*.f64 eps eps)
#s(literal -10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
eps
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(*.f64 x (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
x
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(*.f64 x x)
#s(literal 10 binary64)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
#s(literal 4 binary64)

localize191.0ms (1.8%)

Memory
1.8MiB live, 317.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 x (*.f64 x x))
accuracy0.12625753162065376
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
accuracy0.2192801143988453
(*.f64 (*.f64 x x) #s(literal 10 binary64))
accuracy10.557300889914973
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
accuracy0.174160009768442
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy0.23525024051104626
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
accuracy10.694901263627019
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
accuracy12.406007288681474
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
accuracy0.030292529305326048
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy0.0625
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.12109375
(*.f64 x (*.f64 x x))
accuracy7.111776150646917
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy7.702509033754861
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0
(/.f64 x eps)
accuracy0.14453125
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
accuracy0.5013281750224895
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
accuracy7.528170398433636
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Samples
64.0ms198×0valid
34.0ms48×1valid
10.0ms10×2valid
Compiler

Compiled 294 to 40 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 32.0ms (40.6% of total)
ival-pow: 20.0ms (25.4% of total)
ival-add: 9.0ms (11.4% of total)
ival-sub: 7.0ms (8.9% of total)
adjust: 5.0ms (6.3% of total)
ival-div: 4.0ms (5.1% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.5%)

Memory
22.4MiB live, 99.7MiB allocated
Counts
23 → 468
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (patch (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (patch (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))
2.0ms
eps
@0
(+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))
2.0ms
x
@0
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))
1.0ms
eps
@0
(* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))
1.0ms
eps
@0
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))

simplify312.0ms (2.9%)

Memory
-31.4MiB live, 338.9MiB allocated
Algorithm
egg-herbie
Rules
16 006×lower-fma.f64
16 006×lower-fma.f32
6 388×lower-*.f64
6 388×lower-*.f32
4 136×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04456610
115406096
253445340
081045034
Stop Event
iter limit
node limit
Counts
468 → 462
Calls
Call 1
Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* eps x))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x)))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(/ (+ eps (* 5 x)) eps)
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(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x)))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(* 10 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))

rewrite482.0ms (4.5%)

Memory
11.5MiB live, 384.4MiB allocated
Rules
6 016×lower-fma.f32
6 008×lower-fma.f64
4 468×lower-*.f32
4 442×lower-*.f64
3 642×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040263
069245
1266241
22026241
08361238
Stop Event
iter limit
node limit
iter limit
Counts
23 → 461
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(/.f64 x eps)
(*.f64 x (*.f64 x x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 5 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 x eps)) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 15 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x #s(literal 10 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 x (neg.f64 eps)))
(neg.f64 (/.f64 x (neg.f64 eps)))
(neg.f64 (/.f64 (neg.f64 x) eps))
(/.f64 x eps)
(/.f64 #s(literal 1 binary64) (/.f64 eps x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps)))
(/.f64 (*.f64 x #s(literal 1 binary64)) eps)
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 eps))
(pow.f64 (/.f64 eps x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (/.f64 x eps))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) x)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) #s(literal -1 binary64))
(*.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)))
(*.f64 eps (*.f64 (*.f64 eps #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x))
(*.f64 (*.f64 eps eps) (/.f64 #s(literal -10 binary64) x))
(*.f64 #s(literal -10 binary64) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x))
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 10 binary64) (/.f64 (neg.f64 (*.f64 eps eps)) x))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 eps eps))
(*.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 eps #s(literal -10 binary64)) x))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 eps #s(literal -10 binary64))) x))
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x))
(*.f64 (/.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal -10 binary64)) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 10 binary64)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x)
(*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x x))

eval113.0ms (1.1%)

Memory
0.9MiB live, 186.6MiB allocated
Compiler

Compiled 28 982 to 1 996 computations (93.1% saved)

prune132.0ms (1.2%)

Memory
0.1MiB live, 163.1MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New97912991
Fresh224
Picked325
Done000
Total984161 000
Accuracy
100.0%
Counts
1 000 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
88.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
44.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
76.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
Compiler

Compiled 569 to 317 computations (44.3% saved)

simplify187.0ms (1.8%)

Memory
28.2MiB live, 178.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
cost-diff320
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
cost-diff704
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x))
cost-diff0
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
cost-diff0
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
cost-diff0
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
cost-diff0
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Rules
11 606×lower-fma.f32
11 600×lower-fma.f64
4 118×lower-*.f32
4 086×lower-*.f64
1 686×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058435
083419
1167406
2404394
3918391
41859389
53317383
08087374
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(*.f64 eps eps)
eps
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))
eps
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))
(*.f64 eps x)
x
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
#s(literal 10 binary64)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 eps (*.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)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
(fma.f64 #s(literal 5 binary64) x eps)
(fma.f64 x #s(literal 5 binary64) eps)
#s(literal 5 binary64)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps))))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 eps eps)
eps
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))
eps
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
(*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
(*.f64 eps x)
(*.f64 x eps)
x
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x))
(*.f64 (*.f64 x eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
#s(literal 10 binary64)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x eps))))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))
eps
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
x
#s(literal 4 binary64)

localize190.0ms (1.8%)

Memory
-42.6MiB live, 205.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0.02734375
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy0.09832001953688405
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy10.868312604277493
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy0.1640625
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
accuracy4.01204511473976
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x))
accuracy10.694901263627019
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
accuracy12.406928988774743
(/.f64 (*.f64 eps eps) x)
accuracy0.06640625
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
accuracy0.1328125
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))
accuracy10.557300889914973
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
accuracy14.923522380138271
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
accuracy0.12109375
(*.f64 x (*.f64 x x))
accuracy0.12625753162065376
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
accuracy7.5744520287563795
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))
accuracy10.694901263627019
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
accuracy0
(fma.f64 #s(literal 5 binary64) x eps)
accuracy0
(pow.f64 eps #s(literal 4 binary64))
accuracy0.16558711062239803
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
accuracy7.528170398433636
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Samples
68.0ms185×0valid
40.0ms58×1valid
13.0ms13×2valid
Compiler

Compiled 298 to 47 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 44.0ms (48.5% of total)
ival-pow: 21.0ms (23.1% of total)
ival-add: 13.0ms (14.3% of total)
adjust: 6.0ms (6.6% of total)
ival-div: 4.0ms (4.4% of total)
ival-sub: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
30.2MiB live, 67.6MiB allocated
Counts
25 → 528
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (patch (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 4 binary64)) (patch (pow.f64 eps #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (patch (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) (patch (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) (patch #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) (patch (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #<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 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (patch (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ())
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#s(alt (* 5 eps) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 x) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -5 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
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#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* eps (* (* eps x) (+ (* eps 5) (* x 10))))
1.0ms
eps
@0
(* eps (* 5 (pow x 4)))
1.0ms
eps
@0
(* (* eps eps) (* (* x (* x x)) 10))
0.0ms
x
@inf
(* eps (* (* eps x) (+ (* eps 5) (* x 10))))
0.0ms
eps
@inf
(* eps (* 5 (pow x 4)))

simplify336.0ms (3.2%)

Memory
-3.0MiB live, 374.3MiB allocated
Algorithm
egg-herbie
Rules
14 846×lower-fma.f64
14 846×lower-fma.f32
6 064×lower-*.f64
6 064×lower-*.f32
4 128×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04477597
115757099
254036191
084645868
Stop Event
iter limit
node limit
Counts
528 → 525
Calls
Call 1
Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(* 10 (* (pow eps 2) (pow x 3)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(* 10 (* (pow eps 2) (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))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* 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 (* 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 (* 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 (* 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 (* 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))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 10 (* eps (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))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* 10 x)
(+ (* 5 eps) (* 10 x))
(+ (* 5 eps) (* 10 x))
(+ (* 5 eps) (* 10 x))
(* 5 eps)
(* eps (+ 5 (* 10 (/ x eps))))
(* eps (+ 5 (* 10 (/ x eps))))
(* eps (+ 5 (* 10 (/ x eps))))
(* 5 eps)
(* -1 (* eps (- (* -10 (/ x eps)) 5)))
(* -1 (* eps (- (* -10 (/ x eps)) 5)))
(* -1 (* eps (- (* -10 (/ x eps)) 5)))
(* 5 eps)
(+ (* 5 eps) (* 10 x))
(+ (* 5 eps) (* 10 x))
(+ (* 5 eps) (* 10 x))
(* 10 x)
(* x (+ 10 (* 5 (/ eps x))))
(* x (+ 10 (* 5 (/ eps x))))
(* x (+ 10 (* 5 (/ eps x))))
(* 10 x)
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (+.f64 eps x))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x)))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 x x))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) (neg.f64 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 5 binary64) 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)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps)))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
eps
(+ 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)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* x (+ 5 (/ eps x)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(* x (+ 5 (/ eps x)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(* x (+ 5 (/ eps x)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x))))
(* 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
(* eps (+ 1 (* 5 (/ x eps))))
(fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) x) eps) eps)
(* eps (+ 1 (* 5 (/ x eps))))
(fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) x) eps) eps)
(* eps (+ 1 (* 5 (/ x eps))))
(fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) x) eps) eps)
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(*.f64 eps (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(*.f64 eps (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(*.f64 eps (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (+.f64 eps x))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x)))))))
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(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
(+ (* 5 eps) (* 10 x))
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
(+ (* 5 eps) (* 10 x))
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* x (+ 10 (* 5 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))
(* x (+ 10 (* 5 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))
(* x (+ 10 (* 5 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64)))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64))))
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64))))
(* -1 (* x (- (* -5 (/ eps x)) 10)))
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64))))
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)

rewrite374.0ms (3.5%)

Memory
22.1MiB live, 346.2MiB allocated
Rules
7 866×lower-fma.f32
7 860×lower-fma.f64
4 802×lower-*.f32
4 770×lower-*.f64
3 186×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058398
083374
1301363
22186363
08649357
Stop Event
iter limit
node limit
iter limit
Counts
25 → 391
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow.f64 eps #s(literal 4 binary64))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
(/.f64 (*.f64 eps eps) x)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps)))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps)))
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(pow.f64 eps #s(literal 4 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(+.f64 eps (*.f64 x #s(literal 5 binary64)))
(+.f64 (*.f64 x #s(literal 5 binary64)) eps)
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (-.f64 eps (*.f64 x #s(literal 5 binary64)))))
(fma.f64 x #s(literal 5 binary64) eps)
(fma.f64 #s(literal 5 binary64) x eps)
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))) (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 eps (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))))) (neg.f64 (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 x eps))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (*.f64 x eps))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) eps)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) eps)) (neg.f64 (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))))
(*.f64 x (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))
(*.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))
(*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) eps)
(*.f64 (*.f64 x eps) (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) eps) x)
(+.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))
(+.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x #s(literal 10 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))))
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (fma.f64 (*.f64 x x) #s(literal 100 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 100 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) #s(literal 10 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 eps eps) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 eps eps)) x))
(/.f64 (*.f64 eps eps) x)
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps (/.f64 eps x))
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps eps))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 eps x) eps)
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 eps) x))
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 eps x))

eval107.0ms (1%)

Memory
2.5MiB live, 166.1MiB allocated
Compiler

Compiled 22 073 to 1 696 computations (92.3% saved)

prune276.0ms (2.6%)

Memory
-17.4MiB live, 264.3MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New91913932
Fresh369
Picked325
Done022
Total92523948
Accuracy
100.0%
Counts
948 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
88.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
44.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
76.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
88.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
88.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))
Compiler

Compiled 782 to 411 computations (47.4% saved)

simplify410.0ms (3.9%)

Memory
5.9MiB live, 323.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
cost-diff320
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(fma.f64 x #s(literal 5 binary64) eps)
cost-diff0
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
cost-diff0
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
cost-diff0
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
cost-diff0
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
cost-diff1280
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Rules
16 268×lower-fma.f32
16 262×lower-fma.f64
4 382×lower-*.f32
4 344×lower-*.f64
3 978×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062572
089542
1185486
2384476
3703470
4956464
51209464
61384459
71430459
81515459
91873459
103818459
114789459
125840459
135924459
145973459
156008459
167191459
177305459
08157442
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
eps
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
x
#s(literal 5 binary64)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
eps
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 x x)
x
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
eps
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x))
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
eps
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 x x)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
eps
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
x
#s(literal 5 binary64)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))))))
eps
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))))))
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))))
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))))
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps))))
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
eps
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))))
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))))
eps
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
(fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
x
(*.f64 x x)

localize413.0ms (3.9%)

Memory
-14.1MiB live, 238.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
accuracy4.01204511473976
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x))
accuracy10.694901263627019
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
accuracy21.775165931657572
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)
accuracy0.03515625
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy0.08203125
(*.f64 eps (*.f64 eps eps))
accuracy0.16558711062239803
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
accuracy7.528170398433636
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
accuracy0.05078125
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
accuracy0.05859375
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy0.12109375
(*.f64 x (*.f64 x x))
accuracy10.868312604277493
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
accuracy0.2192801143988453
(*.f64 (*.f64 x x) #s(literal 10 binary64))
accuracy10.210934142426646
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))
accuracy10.557300889914973
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
accuracy14.923522380138271
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
accuracy0.05078125
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
accuracy0.08203125
(*.f64 eps (*.f64 eps eps))
accuracy0.12526707912988658
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)
accuracy7.528170398433636
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
Samples
75.0ms179×0valid
64.0ms13×2valid
48.0ms64×1valid
Compiler

Compiled 356 to 53 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-div: 62.0ms (38.3% of total)
ival-mult: 61.0ms (37.7% of total)
ival-pow: 16.0ms (9.9% of total)
ival-add: 14.0ms (8.7% of total)
adjust: 7.0ms (4.3% of total)
ival-sub: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
-5.3MiB live, 70.6MiB allocated
Counts
24 → 504
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) (patch (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps eps))) (patch (*.f64 eps (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) (patch (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) (patch #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (patch (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (patch (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 5 binary64) eps) (patch (fma.f64 x #s(literal 5 binary64) eps) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) (patch (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (patch (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (patch (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())
Outputs
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ())
Calls

126 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(/ (* eps (+ (* eps 10) (* 5 x))) x)
3.0ms
eps
@-inf
(/ (* eps (+ (* eps 10) (* 5 x))) x)
0.0ms
x
@-inf
(/ (* eps (+ (* eps 10) (* 5 x))) x)
0.0ms
x
@0
(/ (* eps (+ (* eps 10) (* 5 x))) x)
0.0ms
x
@inf
(/ (* eps (+ (* eps 10) (* 5 x))) x)

simplify281.0ms (2.6%)

Memory
18.2MiB live, 364.1MiB allocated
Algorithm
egg-herbie
Rules
15 356×lower-fma.f64
15 356×lower-fma.f32
5 806×lower-*.f64
5 806×lower-*.f32
4 124×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04407186
115676712
254115912
081115589
Stop Event
iter limit
node limit
Counts
504 → 501
Calls
Call 1
Inputs
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(* (pow eps 4) x)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(* 10 (* (pow eps 2) (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))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* 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 (* 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 (* 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 (* 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 (* 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)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
eps
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* 5 x)
(+ eps (* 5 x))
(+ eps (* 5 x))
(+ eps (* 5 x))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* 10 (* eps (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))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* 10 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 eps)))
(* eps (+ (* 5 x) (* 10 eps)))
(* eps (+ (* 5 x) (* 10 eps)))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* 10 (pow eps 2))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(* 10 (pow eps 2))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps x))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
Outputs
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* 5 (* (pow eps 4) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) x (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps (+.f64 x eps)) x)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal -10 binary64))) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -10 binary64))) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps))) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(* (pow eps 4) x)
(*.f64 (pow.f64 eps #s(literal 4 binary64)) x)
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
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(* 5 (* (pow eps 2) x))
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(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64)))))
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(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
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rewrite380.0ms (3.6%)

Memory
-13.4MiB live, 391.5MiB allocated
Rules
8 076×lower-fma.f32
8 070×lower-fma.f64
4 734×lower-*.f32
4 696×lower-*.f64
2 934×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062488
089452
1334406
22243406
08327389
Stop Event
iter limit
node limit
iter limit
Counts
24 → 289
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 x #s(literal 5 binary64) eps)
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))
(*.f64 (*.f64 x x) #s(literal 10 binary64))
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))
Outputs
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))))
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(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64))))
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(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64))))
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(fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) x)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
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(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
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eval119.0ms (1.1%)

Memory
27.9MiB live, 146.4MiB allocated
Compiler

Compiled 19 569 to 1 049 computations (94.6% saved)

prune217.0ms (2%)

Memory
-16.6MiB live, 249.9MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New86111872
Fresh8614
Picked055
Done134
Total87025895
Accuracy
100.0%
Counts
895 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
88.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
88.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
44.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))
83.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
76.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
88.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
88.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
82.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
83.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
71.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
Compiler

Compiled 1 175 to 407 computations (65.4% saved)

regimes59.0ms (0.6%)

Memory
3.0MiB live, 59.5MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
Calls

3 calls:

34.0ms
x
12.0ms
eps
10.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.6%3x
98.3%3eps
99.5%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes15.0ms (0.1%)

Memory
-10.8MiB live, 27.5MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory
-19.9MiB live, 17.1MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
Calls

1 calls:

40.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
20.7MiB live, 20.6MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
Calls

2 calls:

10.0ms
x
8.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.7%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
99.4%3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes11.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory
-25.1MiB live, 12.7MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
Calls

1 calls:

31.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-27.3MiB live, 19.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-22.2MiB live, 15.9MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes135.0ms (1.3%)

Memory
-9.7MiB live, 28.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
Calls

3 calls:

126.0ms
x
5.0ms
eps
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
82.9%1eps
82.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
82.9%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes177.0ms (1.7%)

Memory
-13.3MiB live, 23.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
Calls

3 calls:

170.0ms
eps
4.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
82.9%1eps
82.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
82.9%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
Calls

3 calls:

3.0ms
x
3.0ms
eps
3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
71.9%1eps
71.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
71.9%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes50.0ms (0.5%)

Memory
-28.5MiB live, 14.7MiB allocated
Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

3 calls:

46.0ms
x
2.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
71.8%1x
71.8%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
71.8%1eps
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch51.0ms (0.5%)

Memory
26.1MiB live, 96.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.142426504988396e-46
3.173524171554958e-43
28.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Samples
35.0ms216×1valid
3.0ms40×0valid
Compiler

Compiled 558 to 340 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 16.0ms (52.7% of total)
adjust: 9.0ms (29.6% of total)
ival-add: 3.0ms (9.9% of total)
ival-sub: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
-2.7MiB live, 34.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Samples
10.0ms70×1valid
1.0ms10×0valid
Compiler

Compiled 590 to 356 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-pow: 4.0ms (51.2% of total)
adjust: 2.0ms (25.6% of total)
ival-add: 1.0ms (12.8% of total)
ival-sub: 1.0ms (12.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 558 to 348 computations (37.6% saved)

bsearch2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 566 to 340 computations (39.9% saved)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 534 to 324 computations (39.3% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 726 to 356 computations (51% saved)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 782 to 380 computations (51.4% saved)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 726 to 364 computations (49.9% saved)

bsearch26.0ms (0.2%)

Memory
-46.0MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
25.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 702 to 348 computations (50.4% saved)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 574 to 332 computations (42.2% saved)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 542 to 316 computations (41.7% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 510 to 300 computations (41.2% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.142426504988396e-46
3.173524171554958e-43
1.0ms
-1.3412503829676557e-37
-2.6415009105475995e-42
Compiler

Compiled 510 to 300 computations (41.2% saved)

simplify32.0ms (0.3%)

Memory
-0.7MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Rules
84×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01601525
12071525
22111525
32131525
42141525
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 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 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x))))))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x)))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
Outputs
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 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 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))))
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(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (*.f64 eps eps))))

soundness1.7s (16.2%)

Memory
30.3MiB live, 1 387.5MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
16 006×lower-fma.f64
16 006×lower-fma.f32
14 846×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040263
069245
1266241
22026241
08361238
062488
089452
1334406
22243406
08327389
02451372
18171243
228601056
08403988
04477597
115757099
254036191
084645868
058398
083374
1301363
22186363
08649357
04456610
115406096
253445340
081045034
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
iter limit
node limit
iter limit
Compiler

Compiled 1 380 to 524 computations (62% saved)

preprocess249.0ms (2.3%)

Memory
-12.9MiB live, 154.8MiB allocated
Compiler

Compiled 1 574 to 218 computations (86.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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