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

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 (14.9%)

Memory
-118.4MiB live, 1 915.2MiB allocated
Samples
730.0ms6 727×0valid
240.0ms1 232×1valid
72.0ms297×2valid
Precisions
Click to see histograms. Total time spent on operations: 808.0ms
ival-pow: 367.0ms (45.4% of total)
ival-<=: 167.0ms (20.7% of total)
ival-add: 116.0ms (14.4% of total)
adjust: 58.0ms (7.2% of total)
ival-sub: 58.0ms (7.2% of total)
ival-and: 20.0ms (2.5% of total)
exact: 19.0ms (2.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain116.0ms (1.1%)

Memory
-20.0MiB live, 138.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))cancellation350
Confusion
Predicted +Predicted -
+350
-0221
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-00221
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms424×0valid
10.0ms20×2valid
10.0ms68×1valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 26.0ms (74% of total)
adjust: 3.0ms (8.5% of total)
ival-add: 3.0ms (8.5% of total)
ival-sub: 3.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory
31.4MiB live, 31.4MiB 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)

eval5.0ms (0%)

Memory
-36.8MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB 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
23.4MiB live, 23.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.036483789073768064
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy7.462602722154607
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
15.0ms212×0valid
5.0ms34×1valid
2.0ms10×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 9.0ms (63.2% of total)
ival-add: 2.0ms (14% of total)
adjust: 1.0ms (7% of total)
ival-sub: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
6.3MiB live, 6.2MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

21 calls:

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

simplify496.0ms (4.5%)

Memory
-9.9MiB live, 338.8MiB allocated
Algorithm
egg-herbie
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
6 916×lower-*.f64
6 916×lower-*.f32
3 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02451372
18171243
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))

rewrite278.0ms (2.5%)

Memory
12.9MiB live, 290.9MiB 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)))

eval47.0ms (0.4%)

Memory
-7.6MiB live, 65.6MiB allocated
Compiler

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

prune104.0ms (1%)

Memory
-15.2MiB live, 121.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New35010360
Fresh000
Picked101
Done000
Total35110361
Accuracy
99.9%
Counts
361 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
83.7%
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
83.7%
#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))))
87.1%
#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))))
76.6%
#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))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
83.7%
#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))))))
83.4%
#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 502 to 214 computations (57.4% saved)

simplify158.0ms (1.4%)

Memory
2.6MiB live, 155.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)))
cost-diff0
#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))))
cost-diff128
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64))
cost-diff448
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))
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
7 090×lower-fma.f32
7 088×lower-fma.f64
3 862×lower-*.f32
3 840×lower-*.f64
1 722×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038297
063287
1113285
2230267
3562267
41576267
53361267
67314267
08188256
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 (+.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))))
(*.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)))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
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 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 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(/.f64 (*.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 (+.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 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64))))
(*.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)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
(*.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)))
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))
(*.f64 x (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
x
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 x x)
#s(literal -10 binary64)
eps
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))

localize146.0ms (1.3%)

Memory
5.6MiB live, 201.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
accuracy8.130928035520293
#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))))
accuracy10.01266333788905
(*.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)))
accuracy15.072440157170137
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)
accuracy0.16141378162065376
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy0.44215667702110745
(*.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)))
accuracy10.39165443012921
#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))))
accuracy15.786452493752074
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
accuracy0.036483789073768064
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy0.0625
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.078125
(*.f64 x (*.f64 x x))
accuracy7.462602722154607
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy8.457857675406272
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0
(/.f64 x eps)
accuracy0.13671875
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
accuracy0.41552001884962897
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
accuracy8.279257357551323
#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
66.0ms200×0valid
22.0ms44×1valid
13.0ms12×2valid
Compiler

Compiled 250 to 35 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 23.0ms (34.4% of total)
ival-pow: 21.0ms (31.4% of total)
ival-div: 8.0ms (11.9% of total)
ival-sub: 5.0ms (7.5% of total)
ival-add: 5.0ms (7.5% of total)
adjust: 4.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
-8.5MiB live, 74.9MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (patch (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<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>) () ())) ())
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Calls

123 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(- (pow (+ x eps) 5) (pow x 5))
2.0ms
eps
@inf
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)
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))

simplify302.0ms (2.8%)

Memory
31.4MiB live, 303.4MiB allocated
Algorithm
egg-herbie
Rules
12 678×lower-fma.f64
12 678×lower-fma.f32
5 052×lower-*.f64
5 052×lower-*.f32
3 268×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03836862
112676363
241985437
378365437
087435105
Stop Event
iter limit
node limit
Counts
492 → 486
Calls
Call 1
Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 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)))
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2))
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))
(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))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
Outputs
(pow eps 5)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 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 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(* (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 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 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 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 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.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 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 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 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))) 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 x (*.f64 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 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (*.f64 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 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow eps 5)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (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 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.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 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #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 (*.f64 x 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)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (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 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 x (*.f64 x #s(literal 10 binary64)) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (neg.f64 eps))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(pow eps 5)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))))
(pow eps 5)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(* 5 (* (pow eps 4) x))
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(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
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(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x (*.f64 eps eps))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))))
(* 10 (/ (pow x 2) (pow eps 2)))
(*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x (*.f64 eps eps))))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(* 5 (/ x eps))
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(* 5 (/ x eps))
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))

rewrite280.0ms (2.6%)

Memory
10.6MiB live, 324.3MiB allocated
Rules
5 456×lower-*.f32
5 434×lower-*.f64
4 102×lower-/.f32
4 094×lower-/.f64
3 012×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038252
063240
1236238
21756238
08582230
Stop Event
iter limit
node limit
iter limit
Counts
23 → 560
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))))
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 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))))
(*.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)))
(/.f64 x eps)
(*.f64 x (*.f64 x x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
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)))
(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)) #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 5/2 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 (*.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)))
(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)))
(/.f64 (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))) (+.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (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))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (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)))) (neg.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.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 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) 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)))
(*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))
(+.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (neg.f64 eps)) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps))
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(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal -10 binary64)))) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) eps) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps (neg.f64 eps))) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 (neg.f64 eps) (*.f64 eps (neg.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (neg.f64 eps)) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) #s(literal 1 binary64))) (neg.f64 eps))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal 1 binary64))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))))) (neg.f64 (neg.f64 (neg.f64 eps))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1000 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps))))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))))
(pow.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps))
(*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(*.f64 (pow.f64 (/.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))))

eval167.0ms (1.5%)

Memory
0.7MiB live, 166.5MiB allocated
Compiler

Compiled 29 004 to 2 370 computations (91.8% saved)

prune227.0ms (2.1%)

Memory
13.9MiB live, 278.8MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 087131 100
Fresh145
Picked325
Done000
Total1 091191 110
Accuracy
100.0%
Counts
1 110 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
83.7%
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
81.7%
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
71.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
71.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
Compiler

Compiled 925 to 395 computations (57.3% saved)

simplify383.0ms (3.5%)

Memory
7.7MiB live, 602.5MiB 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 (*.f64 eps eps) #s(literal 10 binary64)) x)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff320
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
cost-diff704
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
cost-diff0
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
cost-diff0
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
cost-diff640
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
cost-diff832
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
cost-diff960
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
Rules
33 946×lower-fma.f32
33 936×lower-fma.f64
4 512×lower-*.f32
4 480×lower-*.f64
3 088×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046453
073395
1148367
2390347
31018347
41910347
53540342
67454342
08280341
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
x
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
eps
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
#s(literal 10 binary64)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
#s(literal 5 binary64)
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
eps
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
eps
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
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)
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 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)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 (+.f64 x eps) #s(literal 10 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))))
x
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
(*.f64 eps (*.f64 eps (*.f64 (+.f64 x eps) #s(literal 10 binary64))))
eps
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps eps)
#s(literal 10 binary64)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x eps)))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
#s(literal 5 binary64)
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
eps
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
eps
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 5 binary64)
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x 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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
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)
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 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x eps))))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x eps)))))
eps
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.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)

localize205.0ms (1.9%)

Memory
-3.1MiB live, 156.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0.046875
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy0.09117128907376808
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy10.609016689307584
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy0.16141378162065376
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy0.44215667702110745
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy10.39165443012921
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy15.786452493752074
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
accuracy0.0625
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
accuracy0.078125
(*.f64 x (*.f64 x x))
accuracy0.1484375
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
accuracy10.39165443012921
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
accuracy0.0625
(*.f64 eps (*.f64 eps eps))
accuracy0.0703125
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
accuracy0.0703125
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
accuracy8.457857675406272
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
accuracy0.0703125
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
accuracy0.09441376953688403
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
accuracy0.16141378162065376
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy8.109723203932287
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
Samples
97.0ms191×0valid
27.0ms52×1valid
9.0ms13×2valid
Compiler

Compiled 346 to 44 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 36.0ms (51.2% of total)
ival-pow: 14.0ms (19.9% of total)
ival-add: 8.0ms (11.4% of total)
adjust: 5.0ms (7.1% of total)
ival-div: 4.0ms (5.7% of total)
ival-sub: 3.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
-14.9MiB live, 62.9MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (patch (fma.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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.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 (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 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) (taylor inf eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (* (pow eps 2) x)) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
17.0ms
x
@0
(+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))
5.0ms
eps
@0
(* eps (+ (* 5 x) (* eps 10)))
1.0ms
x
@-inf
(* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10))))
1.0ms
eps
@0
(* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10))))
1.0ms
eps
@0
(* eps (* 5 (pow x 4)))

simplify407.0ms (3.7%)

Memory
-33.0MiB live, 471.3MiB allocated
Algorithm
egg-herbie
Rules
13 634×lower-fma.f64
13 634×lower-fma.f32
5 692×lower-*.f64
5 692×lower-*.f32
3 634×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03886635
113386213
246855430
378155430
083035154
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(* 10 (* (pow eps 2) x))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* 5 (pow eps 4))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(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)
(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 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 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)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 5 (* eps (pow x 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)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (/ (pow eps 2) 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))
(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 eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 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
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) (pow.f64 eps #s(literal 5 binary64)))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))))))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
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(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (* eps x))
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(* eps (+ (* 5 x) (* 10 eps)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* (pow eps 2) (+ 10 (* 5 (/ x eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(+ (* 5 (* eps x)) (* 10 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
(* 5 (* eps x))
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* 5 (* eps x))
(*.f64 eps (*.f64 #s(literal 5 binary64) x))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))

rewrite630.0ms (5.8%)

Memory
21.6MiB live, 342.2MiB allocated
Rules
7 104×lower-fma.f32
7 094×lower-fma.f64
4 898×lower-*.f32
4 866×lower-*.f64
3 328×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046367
073312
1271291
22109283
08698283
Stop Event
iter limit
node limit
iter limit
Counts
23 → 453
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) 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 eps eps) #s(literal 10 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))
Outputs
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(+.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x 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))))))
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x 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 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 x x) (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 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(fma.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x 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 (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))) x (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) 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 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x))
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal -10 binary64) x))
(*.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 eps) #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))
(*.f64 (/.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x))
(*.f64 (/.f64 (*.f64 eps #s(literal -10 binary64)) #s(literal -1 binary64)) (/.f64 eps x))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps))
(*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
(*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) x)
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))
(neg.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1000 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps (neg.f64 (*.f64 eps #s(literal -10 binary64))))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)))
(*.f64 (*.f64 eps #s(literal 10 binary64)) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))
(*.f64 (neg.f64 eps) (*.f64 eps #s(literal -10 binary64)))
(*.f64 (neg.f64 (*.f64 eps eps)) #s(literal -10 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
(*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) eps)
(+.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(+.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 eps (neg.f64 (*.f64 eps #s(literal -10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 #s(literal 5 binary64) (*.f64 x eps) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 eps #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 eps #s(literal 10 binary64)) eps (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 (neg.f64 eps) (*.f64 eps #s(literal -10 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(fma.f64 (neg.f64 (*.f64 eps eps)) #s(literal -10 binary64) (*.f64 x (*.f64 eps #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
(/.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64)))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) eps) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) (neg.f64 (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps)) (neg.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))))))
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) eps)

eval166.0ms (1.5%)

Memory
6.4MiB live, 159.2MiB allocated
Compiler

Compiled 34 458 to 1 778 computations (94.8% saved)

prune153.0ms (1.4%)

Memory
5.7MiB live, 393.5MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 057161 073
Fresh5712
Picked415
Done022
Total1 066261 092
Accuracy
100.0%
Counts
1 092 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
83.7%
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
81.7%
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
83.7%
#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 (*.f64 x x))) x))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
83.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64)))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
83.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
83.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
Compiler

Compiled 1 173 to 525 computations (55.2% saved)

simplify321.0ms (2.9%)

Memory
-10.0MiB live, 544.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
cost-diff0
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))))
cost-diff0
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
cost-diff0
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
cost-diff320
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
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 eps)
cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
cost-diff640
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
cost-diff832
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
cost-diff960
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
Rules
28 626×lower-fma.f32
28 614×lower-fma.f64
3 762×lower-*.f32
3 720×lower-*.f64
2 798×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062617
0100529
1201485
2488460
31193460
41985460
53787460
08106454
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
x
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
eps
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
#s(literal 10 binary64)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
#s(literal 5 binary64)
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
eps
(*.f64 (*.f64 eps eps) (*.f64 eps 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))))
(*.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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(*.f64 x eps)
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
x
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
#s(literal 10 binary64)
(+.f64 eps x)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 x eps))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))))
x
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps))))
eps
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps eps)
#s(literal 10 binary64)
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
#s(literal 5 binary64)
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.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 eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
eps
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps 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 x (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))
(*.f64 x eps)
eps
#s(literal 5 binary64)
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 eps #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
x
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))))
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))
(*.f64 eps eps)
eps
(fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))
(fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(*.f64 #s(literal 10 binary64) (+.f64 x eps))
#s(literal 10 binary64)
(+.f64 eps x)
(+.f64 x eps)
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))

localize252.0ms (2.3%)

Memory
-15.7MiB live, 397.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
accuracy0.1171875
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
accuracy0.17578125
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))
accuracy8.109723203932287
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
accuracy0.078125
(*.f64 x (*.f64 x x))
accuracy0.10126879884221009
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
accuracy0.109375
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
accuracy10.39165443012921
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
accuracy0.0390625
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy0.07259750976844202
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
accuracy0.078125
(*.f64 x (*.f64 x x))
accuracy10.609016689307584
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
accuracy0
(*.f64 eps eps)
accuracy0.0703125
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
accuracy0.109375
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
accuracy8.457857675406272
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
accuracy0.07421875
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
accuracy0.09441376953688403
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
accuracy0.16141378162065376
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy8.109723203932287
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
Samples
115.0ms200×0valid
54.0ms45×1valid
9.0ms11×2valid
Compiler

Compiled 437 to 51 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-pow: 73.0ms (49% of total)
ival-mult: 53.0ms (35.6% of total)
ival-add: 12.0ms (8.1% of total)
adjust: 5.0ms (3.4% of total)
ival-sub: 3.0ms (2% of total)
ival-div: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
25.2MiB live, 62.3MiB allocated
Counts
26 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (patch (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #<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 (*.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 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (patch (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (patch #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) (patch (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 10 eps) (* 10 x))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 10 eps) (* 10 x))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 10 eps) (* 10 x))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 10 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 2)) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt (* 10 x) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 eps) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 eps) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 eps) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 x) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* 10 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ())
Calls

129 calls:

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

simplify313.0ms (2.9%)

Memory
0.7MiB live, 365.6MiB allocated
Algorithm
egg-herbie
Rules
14 080×lower-fma.f64
14 080×lower-fma.f32
5 942×lower-*.f64
5 942×lower-*.f32
3 698×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03947403
113796970
248286299
081045956
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(* 10 (pow eps 3))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(* 10 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(* 10 (pow eps 3))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(* 10 (* (pow eps 2) x))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* 5 (pow eps 4))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(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)
(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 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 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)))
(* 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)
(* 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))))
(* 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))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow 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))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(* 5 (pow eps 4))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* 5 (pow eps 4))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps))))
(* 5 (pow eps 4))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(* 5 (pow eps 4))
(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 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (pow eps 2))
(* 10 (* eps x))
(* x (+ (* 10 eps) (* 10 x)))
(* x (+ (* 10 eps) (* 10 x)))
(* x (+ (* 10 eps) (* 10 x)))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(* 10 (pow x 2))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(* 10 (* eps x))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(* 10 x)
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(* 10 eps)
(* eps (+ 10 (* 10 (/ x eps))))
(* eps (+ 10 (* 10 (/ x eps))))
(* eps (+ 10 (* 10 (/ x eps))))
(* 10 eps)
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(* 10 eps)
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(+ (* 10 eps) (* 10 x))
(* 10 x)
(* x (+ 10 (* 10 (/ eps x))))
(* x (+ 10 (* 10 (/ eps x))))
(* x (+ 10 (* 10 (/ eps x))))
(* 10 x)
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5))
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) (pow.f64 eps #s(literal 5 binary64)))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))))
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))))))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x)))))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))))
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))))
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (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)) (* 10 (/ (pow x 2) (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 1 binary64))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (fma.f64 x (/.f64 x eps) x)) #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 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.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 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps))) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 10 (* (pow eps 2) x))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(* (pow eps 2) (+ (* 10 eps) (* 10 x)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* (pow eps 3) (+ 10 (* 10 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* 10 (pow eps 3))
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x))
(* 10 (* (pow eps 2) x))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* 10 (* (pow eps 2) x))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(* 10 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))))
(* 10 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x))
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x)))
(* 10 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x))
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ 5 (* 10 (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)))
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
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(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* 5 (pow eps 4))
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 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))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (pow eps 2))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(* 10 (* eps x))
(*.f64 eps (*.f64 x #s(literal 10 binary64)))
(* x (+ (* 10 eps) (* 10 x)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(* x (+ (* 10 eps) (* 10 x)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(* x (+ (* 10 eps) (* 10 x)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* (pow x 2) (+ 10 (* 10 (/ eps x))))
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))))
(* 10 (pow x 2))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(+ (* 10 (* eps x)) (* 10 (pow x 2)))
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))
(* 10 (* eps x))
(*.f64 eps (*.f64 x #s(literal 10 binary64)))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* 10 (* eps x))
(*.f64 eps (*.f64 x #s(literal 10 binary64)))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x)))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(* eps (+ 10 (* 10 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 10 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 10 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* -1 (* eps (- (* -10 (/ x eps)) 10)))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64)))
(* 10 eps)
(*.f64 eps #s(literal 10 binary64))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(+ (* 10 eps) (* 10 x))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* x (+ 10 (* 10 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(* x (+ 10 (* 10 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(* x (+ 10 (* 10 (/ eps x))))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))
(* -1 (* x (- (* -10 (/ eps x)) 10)))
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))

rewrite630.0ms (5.8%)

Memory
-0.8MiB live, 499.3MiB allocated
Rules
8 238×lower-fma.f32
8 226×lower-fma.f64
5 430×lower-*.f32
5 388×lower-*.f64
3 284×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062517
0100434
1348388
22498388
09014386
Stop Event
iter limit
node limit
iter limit
Counts
26 → 530
Calls
Call 1
Inputs
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 eps 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))))
(*.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))
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps #s(literal 10 binary64)))
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))
(*.f64 #s(literal 10 binary64) (+.f64 eps x))
Outputs
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(+.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x 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))))))
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps))))))) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))))
(fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x 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 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 x x) (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 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x 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))))))
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(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 10 binary64)) (-.f64 x eps))
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 10 binary64)) (-.f64 eps x))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))) (neg.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))))) (neg.f64 (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps)))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 10 binary64))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 10 binary64))) (neg.f64 (-.f64 eps x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 #s(literal 10 binary64) (+.f64 x eps))
(*.f64 (+.f64 x eps) #s(literal 10 binary64))

eval232.0ms (2.1%)

Memory
18.1MiB live, 303.1MiB allocated
Compiler

Compiled 43 901 to 1 977 computations (95.5% saved)

prune393.0ms (3.6%)

Memory
-16.8MiB live, 372.6MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 23551 240
Fresh41418
Picked235
Done033
Total1 241251 266
Accuracy
100.0%
Counts
1 266 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
83.7%
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
81.7%
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
86.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
83.7%
#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 (*.f64 x x))) x))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)))
83.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))
86.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
86.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
83.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
83.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
83.6%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
37.3%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))))
87.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
Compiler

Compiled 1 503 to 440 computations (70.7% saved)

regimes47.0ms (0.4%)

Memory
-11.8MiB live, 84.8MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#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 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Calls

3 calls:

19.0ms
x
13.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
12.0ms
eps
Results
AccuracySegmentsBranch
98.8%3x
97.8%3eps
99.0%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)

regimes11.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#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 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
Calls

1 calls:

9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes29.0ms (0.3%)

Memory
-24.3MiB live, 52.7MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

2 calls:

16.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
10.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
98.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Memory
30.8MiB live, 30.8MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-19.3MiB live, 20.0MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))
#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 (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory
-32.1MiB live, 13.6MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

34.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
97.7%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
97.9%3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
96.3%3eps
97.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-27.7MiB live, 11.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 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 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
Calls

3 calls:

9.0ms
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
86.7%1eps
86.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.7%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
Calls

3 calls:

2.0ms
eps
2.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.7%1eps
86.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.7%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
eps
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
86.7%1x
86.7%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
86.7%1eps
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.12e-321
0.0ms
-1.8365090786920143e-273
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.12e-321
0.0ms
-1.8365090786920143e-273
-0.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch113.0ms (1%)

Memory
-5.5MiB live, 70.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
9.443823609766782e-45
1.1543619212184484e-34
55.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Samples
93.0ms245×1valid
4.0ms59×0valid
Compiler

Compiled 1 020 to 534 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
adjust: 66.0ms (74.8% of total)
ival-pow: 16.0ms (18.1% of total)
ival-add: 3.0ms (3.4% of total)
ival-sub: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 1 039 to 553 computations (46.8% saved)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 925 to 515 computations (44.3% saved)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 889 to 497 computations (44.1% saved)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 794 to 459 computations (42.2% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 699 to 402 computations (42.5% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 679 to 392 computations (42.3% saved)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 679 to 392 computations (42.3% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 603 to 354 computations (41.3% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 546 to 297 computations (45.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.443823609766782e-45
1.1543619212184484e-34
1.0ms
-7.516514277352766e-35
-7.076138873420237e-40
Compiler

Compiled 546 to 297 computations (45.6% saved)

simplify33.0ms (0.3%)

Memory
-31.6MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Rules
96×*-commutative_binary64
28×+-commutative_binary64
26×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451483
11951483
22201483
32421483
42591483
52681483
62721483
72731483
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (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 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))))
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#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 eps))))

soundness2.2s (20.3%)

Memory
40.1MiB live, 1 190.3MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
13 634×lower-fma.f64
13 634×lower-fma.f32
12 678×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038252
063240
1236238
21756238
08582230
046367
073312
1271291
22109283
08698283
02451372
18171243
228601056
08403988
062517
0100434
1348388
22498388
09014386
03886635
113386213
246855430
378155430
083035154
03836862
112676363
241985437
378365437
087435105
0720
01120
15220
235020
3354520
0939420
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 749 to 682 computations (61% saved)

preprocess85.0ms (0.8%)

Memory
-13.4MiB live, 266.0MiB allocated
Compiler

Compiled 1 612 to 212 computations (86.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...