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

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample2.1s (19.3%)

Memory
-139.7MiB live, 2 278.2MiB allocated
Samples
1.0s6 740×0valid
377.0ms1 224×1valid
98.0ms292×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-pow: 701.0ms (64.9% of total)
ival-<=: 127.0ms (11.8% of total)
ival-add: 92.0ms (8.5% of total)
adjust: 71.0ms (6.6% of total)
ival-sub: 44.0ms (4.1% of total)
ival-and: 21.0ms (1.9% of total)
exact: 20.0ms (1.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain115.0ms (1.1%)

Memory
-17.6MiB live, 210.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
391(2.3691977464914207e-13 4.71787375275095e-16)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))cancellation400
Confusion
Predicted +Predicted -
+400
-0216
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4000
-00216
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0216
140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms412×0valid
12.0ms82×1valid
6.0ms18×2valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-pow: 19.0ms (61.2% of total)
ival-sub: 4.0ms (12.9% of total)
adjust: 3.0ms (9.7% of total)
ival-add: 3.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess35.0ms (0.3%)

Memory
26.4MiB live, 59.1MiB allocated
Algorithm
egg-herbie
Rules
120×sub-neg
84×unsub-neg
80×lower-fma.f64
80×lower-fma.f32
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(-.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
12.1MiB live, 12.1MiB 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))

localize39.0ms (0.4%)

Memory
-32.6MiB live, 49.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 5 binary64))
accuracy0
(+.f64 x eps)
accuracy0.03419877930532605
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy8.519084593034185
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
21.0ms206×0valid
6.0ms41×1valid
2.0ms2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 9.0ms (61.7% of total)
adjust: 2.0ms (13.7% of total)
ival-add: 2.0ms (13.7% of total)
ival-sub: 1.0ms (6.9% 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
14.5MiB live, 14.5MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
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))

simplify285.0ms (2.6%)

Memory
1.7MiB live, 406.7MiB 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))

rewrite347.0ms (3.2%)

Memory
-18.0MiB live, 222.9MiB 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)))

eval44.0ms (0.4%)

Memory
17.5MiB live, 53.9MiB allocated
Compiler

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

prune109.0ms (1%)

Memory
4.5MiB live, 89.5MiB 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
3.9%
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
37.7%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
83.6%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
3.9%
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64)))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
85.7%
#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))))
85.1%
#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))))
85.7%
#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))))))
85.2%
#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 346 to 204 computations (41% saved)

simplify134.0ms (1.2%)

Memory
-6.2MiB live, 104.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))
cost-diff0
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
cost-diff0
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
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
(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))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(*.f64 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)))))
cost-diff0
#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))))))
cost-diff960
(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))))
cost-diff5504
(pow.f64 x #s(literal 4 binary64))
Rules
6 126×lower-fma.f32
6 116×lower-fma.f64
3 540×lower-*.f32
3 516×lower-*.f64
1 786×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042340
072309
1137303
2279295
3624290
41495290
53228290
67814290
08011284
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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))))))
(*.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
(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))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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)) (*.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)
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))
x
(*.f64 x x)
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 5 binary64)
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))
(fma.f64 x (-.f64 x eps) (*.f64 eps eps))
(-.f64 x eps)
#s(literal -5 binary64)
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x x))
Outputs
#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 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.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)))))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
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))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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)) (*.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 (*.f64 x (*.f64 x (*.f64 x (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 eps (*.f64 x (*.f64 x (*.f64 x (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)
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))
x
(*.f64 x x)
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 5 binary64)
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))
(fma.f64 x (-.f64 x eps) (*.f64 eps eps))
(-.f64 x eps)
#s(literal -5 binary64)
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x x))

localize196.0ms (1.8%)

Memory
-3.0MiB live, 273.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.15861137698974623
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
accuracy0.2211113769897462
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))
accuracy60.671783478915096
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
accuracy0.19849133277819153
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy0.4031131932906235
(*.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)))
accuracy9.093035252803146
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
accuracy12.881344408422635
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
accuracy0
(/.f64 x eps)
accuracy0.109375
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
accuracy0.24222878330715308
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
accuracy9.531009943824051
#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))))
accuracy0
(pow.f64 eps #s(literal 5 binary64))
accuracy9.5583737323597
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.0625
(*.f64 x (*.f64 x x))
accuracy0.08822250976844201
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0.15588629138909577
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
accuracy9.093035252803146
#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))))))
Samples
84.0ms203×0valid
40.0ms44×1valid
12.0ms2valid
Compiler

Compiled 305 to 44 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-pow: 46.0ms (41% of total)
ival-mult: 39.0ms (34.8% of total)
adjust: 9.0ms (8% of total)
ival-add: 8.0ms (7.1% of total)
ival-div: 4.0ms (3.6% of total)
ival-sub: 4.0ms (3.6% of total)
ival-neg: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series236.0ms (2.2%)

Memory
-7.8MiB live, 111.5MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt #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)))))) (patch #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)))))) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (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 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (patch (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (patch (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (patch (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #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 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<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 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (patch (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) #<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>) () ())
Outputs
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
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Calls

120 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x))))
4.0ms
x
@0
(/ x eps)
4.0ms
eps
@0
(+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x))))
4.0ms
x
@inf
(+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x))))
3.0ms
eps
@0
(pow (+ (* x (- x eps)) (* eps eps)) -5)

simplify434.0ms (4%)

Memory
2.2MiB live, 484.6MiB allocated
Algorithm
egg-herbie
Rules
11 340×lower-fma.f64
11 340×lower-fma.f32
8 442×lower-+.f64
8 442×lower-+.f32
4 010×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010289144
136218603
084058076
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(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)
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow 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 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)))))
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)))
(* 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)))
(pow eps 5)
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3)))))) (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5))
(+ (* x (- (* x (- (* x (- (+ (* 4 (pow eps 2)) (pow eps 2)) (+ (* -8 (pow eps 2)) (+ (* -4 (+ (* 2 (pow eps 2)) (pow eps 2))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 8)) (+ (* (pow eps 2) (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6)))) (pow eps 8)))) (pow eps 10))) (+ (* -1 (/ (* (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3))))) (pow eps 10))) (* -1 (/ (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6))) (pow eps 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3)))))) (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5))
(* -1 (* (pow x 4) (+ (* -4 eps) (* -1 eps))))
(* (pow x 4) (- (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -4 eps) (* -1 eps))))
(* (pow x 4) (- (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))))))))))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (* eps (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -4 (pow eps 3))))) (+ (* -1 (* (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (+ (* -4 eps) (* -1 eps)))) (+ (* -1 (* (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* (+ (* -4 eps) (* -1 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2)))))))) (pow x 3))) (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2)))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* eps (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 3)))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2))))) x)) (+ (* 4 (pow eps 3)) (+ (/ (* (+ eps (* 4 eps)) (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) x) (+ (/ (* (+ eps (* 4 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))))) x) (pow eps 3)))))) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))))
(* -1 (* eps (+ (* -4 (pow x 4)) (* -1 (pow x 4)))))
(* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))))
(* eps (- (* eps (- (* eps (- (+ (* 4 (pow x 2)) (pow x 2)) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))))
(* eps (- (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 7)) (+ (* -1 (* x (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))))) (* (pow x 2) (+ (* -4 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -4 (pow x 5))))))) (pow x 10))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (+ (* -4 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -4 (pow x 5))) (pow x 4))) (+ (* 2 x) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (+ (* 4 x) (+ (* 8 x) (+ (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (- (+ (* 4 (pow x 2)) (pow x 2)) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (pow x 10)) (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 3)))))))))))) (+ (* 4 (pow x 2)) (pow x 2))) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps))))
(* (pow eps 5) (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps)))))
(* (pow eps 5) (- (+ 1 (+ (* 4 (/ (pow x 3) (pow eps 3))) (/ (pow x 3) (pow eps 3)))) (+ (* -8 (/ (pow x 3) (pow eps 3))) (+ (* -4 (/ x eps)) (+ (* -4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) (pow eps 3))) (+ (* -1 (/ x eps)) (+ (* -1 (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 3))) (+ (* -1 (/ (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 3))) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2)))))))))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))) eps)) (/ (pow (+ x (* 4 x)) 2) eps)) (* -1 (+ x (* 4 x)))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (pow x 3)) (pow x 3)) (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow (+ x (* 4 x)) 2)))) (+ (* -1 (+ (* 4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))) (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))) eps)) (+ (* -1 (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow (+ x (* 4 x)) 2))) eps)) (* -1 (+ x (* 4 x)))) eps)) 1)))
(pow eps 15)
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (pow eps 12))) (pow eps 15))
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (+ (* (pow x 3) (+ (* 4 (pow eps 9)) (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))))) (pow eps 12)))) (pow eps 15))
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (+ (* (pow x 3) (+ (* 4 (pow eps 9)) (+ (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (* (pow x 3) (+ (* 2 (pow eps 6)) (* 8 (pow eps 6))))))) (pow eps 12)))) (pow eps 15))
(pow x 15)
(* (pow x 15) (+ 1 (+ (* 4 (/ (pow eps 3) (pow x 3))) (/ (pow eps 3) (pow x 3)))))
(* (pow x 15) (+ 1 (+ (* 2 (/ (pow eps 6) (pow x 6))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 6) (pow x 6))) (/ (pow eps 3) (pow x 3)))))))
(* (pow x 15) (+ 1 (+ (* 2 (/ (pow eps 6) (pow x 6))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 4 (/ (pow eps 9) (pow x 9))) (+ (* 8 (/ (pow eps 6) (pow x 6))) (+ (/ (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (pow x 9)) (/ (pow eps 3) (pow x 3)))))))))
(pow x 15)
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* 4 (pow eps 3)) (pow eps 3)) (pow x 3))) 1)))
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 6)) (* -1 (+ (* 2 (pow eps 6)) (* 4 (pow eps 6))))) (pow x 3))) (+ (* 4 (pow eps 3)) (pow eps 3))) (pow x 3))) 1)))
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 6)) (+ (* -1 (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (* -1 (/ (+ (* 4 (pow eps 9)) (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6))))) (pow x 3))))) (pow x 3))) (+ (* 4 (pow eps 3)) (pow eps 3))) (pow x 3))) 1)))
(pow x 15)
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (pow x 12))) (pow x 15))
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (+ (* (pow eps 3) (+ (* 4 (pow x 9)) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6)))))) (pow x 12)))) (pow x 15))
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (+ (* (pow eps 3) (+ (* 4 (pow x 9)) (+ (* (pow eps 3) (+ (* 2 (pow x 6)) (* 8 (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6))))))) (pow x 12)))) (pow x 15))
(pow eps 15)
(* (pow eps 15) (+ 1 (+ (* 4 (/ (pow x 3) (pow eps 3))) (/ (pow x 3) (pow eps 3)))))
(* (pow eps 15) (+ 1 (+ (* 2 (/ (pow x 6) (pow eps 6))) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 6) (pow eps 6))) (/ (pow x 3) (pow eps 3)))))))
(* (pow eps 15) (+ 1 (+ (* 2 (/ (pow x 6) (pow eps 6))) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 4 (/ (pow x 9) (pow eps 9))) (+ (* 8 (/ (pow x 6) (pow eps 6))) (+ (/ (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6)))) (pow eps 9)) (/ (pow x 3) (pow eps 3)))))))))
(pow eps 15)
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* 4 (pow x 3)) (pow x 3)) (pow eps 3))) 1)))
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow x 6)) (* -1 (+ (* 2 (pow x 6)) (* 4 (pow x 6))))) (pow eps 3))) (+ (* 4 (pow x 3)) (pow x 3))) (pow eps 3))) 1)))
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow x 6)) (+ (* -1 (+ (* 2 (pow x 6)) (* 4 (pow x 6)))) (* -1 (/ (+ (* 4 (pow x 9)) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6))))) (pow eps 3))))) (pow eps 3))) (+ (* 4 (pow x 3)) (pow x 3))) (pow eps 3))) 1)))
(pow eps 3)
(+ (pow eps 3) (pow x 3))
(+ (pow eps 3) (pow x 3))
(+ (pow eps 3) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1)))
(pow x 3)
(+ (pow eps 3) (pow x 3))
(+ (pow eps 3) (pow x 3))
(+ (pow eps 3) (pow x 3))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3))))
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3))))
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 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))
(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)
(/ 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)
(* -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))
(/ 1 (pow eps 10))
(+ (* 5 (/ x (pow eps 11))) (/ 1 (pow eps 10)))
(+ (* x (+ (* -1 (* x (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12))))))) (* 5 (/ 1 (pow eps 11))))) (/ 1 (pow eps 10)))
(+ (* x (+ (* x (- (* x (- (* 8 (/ 1 (pow eps 13))) (+ (* -4 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 15))) (+ (* -1 (/ (* (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12)))))) (pow eps 10))) (+ (* -1 (/ (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6))) (pow eps 19))) (* 5 (/ (+ (* 4 (pow eps 8)) (+ (* (pow eps 2) (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6)))) (pow eps 8))) (pow eps 21)))))))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12))))))) (* 5 (/ 1 (pow eps 11))))) (/ 1 (pow eps 10)))
(/ 1 (pow x 10))
(/ (+ 1 (* -1 (/ (+ (* -4 eps) (* -1 eps)) x))) (pow x 10))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2)))) (+ (* -4 (/ eps x)) (* -1 (/ eps x)))) (pow x 10))
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))) (pow x 3)))) (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) (pow x 2))) (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ (pow eps 2) (pow x 2))))))))) (pow x 10))
(/ 1 (pow x 10))
(/ (+ 1 (+ (* 4 (/ eps x)) (/ eps x))) (pow x 10))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))) (+ eps (* 4 eps))) x))) (pow x 10))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* 4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) x)) (+ (* 8 (/ (pow eps 3) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ eps (* 4 eps))) x))) (pow x 10))
(/ 1 (pow x 10))
(+ (* 5 (/ eps (pow x 11))) (/ 1 (pow x 10)))
(+ (* eps (+ (* -1 (* eps (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10)))
(+ (* eps (+ (* eps (- (* eps (- (* 8 (/ 1 (pow x 13))) (+ (* -4 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 15))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12)))))) (pow x 10))) (+ (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 19))) (* 5 (/ (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8))) (pow x 21)))))))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10)))
(/ 1 (pow eps 10))
(/ (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps))) (pow eps 10))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps)))) (pow eps 10))
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow x 3)) (+ (* -4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))))) (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))))) (pow eps 3)))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2))))))))) (pow eps 10))
(/ 1 (pow eps 10))
(/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 10))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (+ (* 4 (/ (pow x 2) eps)) (+ (* 8 (/ (pow x 2) eps)) (/ (pow x 2) eps))))) (+ x (* 4 x))) eps))) (pow eps 10))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) eps)) (+ (* 4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (* 8 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps))))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ x (* 4 x))) eps))) (pow eps 10))
(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 x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))
(* 10 (* eps (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))))
(* 10 (* eps (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))))
(* 10 (* eps (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #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 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 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 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) 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))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x))) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps)))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 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 #s(literal 5 binary64) eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 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)) (fma.f64 #s(literal 5 binary64) eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x))) x)) (neg.f64 x))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #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))))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 eps (fma.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))))))
(* 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 #s(literal 4 binary64) (*.f64 x (*.f64 x x)) (fma.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 x (*.f64 (*.f64 x x) #s(literal 6 binary64)) (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #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 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 x eps)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1 binary64))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))) eps)) (neg.f64 eps))) (neg.f64 eps)) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 eps eps))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
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(* eps (+ (* 4 (pow x 4)) (pow x 4)))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5))
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(* -1 (* (pow x 4) (+ (* -4 eps) (* -1 eps))))
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(* (pow x 4) (- (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -4 eps) (* -1 eps))))
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(* (pow x 4) (- (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))))))))))))
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(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (* eps (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -4 (pow eps 3))))) (+ (* -1 (* (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (+ (* -4 eps) (* -1 eps)))) (+ (* -1 (* (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* (+ (* -4 eps) (* -1 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2)))))))) (pow x 3))) (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2)))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))))))))))))
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(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(* (pow x 4) (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))))
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(/ 1 (pow eps 10))
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64)))
(/ (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps))) (pow eps 10))
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 10 binary64)))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps)))) (pow eps 10))
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 eps #s(literal 10 binary64)))
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow x 3)) (+ (* -4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))))) (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))))) (pow eps 3)))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2))))))))) (pow eps 10))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) (fma.f64 (*.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (neg.f64 x) (*.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 13 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))))) (pow.f64 eps #s(literal 10 binary64)))
(/ 1 (pow eps 10))
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64)))
(/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 10))
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 10 binary64)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (+ (* 4 (/ (pow x 2) eps)) (+ (* 8 (/ (pow x 2) eps)) (/ (pow x 2) eps))))) (+ x (* 4 x))) eps))) (pow eps 10))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 13 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) eps)) (*.f64 x #s(literal -5 binary64))) eps)) (pow.f64 eps #s(literal 10 binary64)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) eps)) (+ (* 4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (* 8 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps))))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ x (* 4 x))) eps))) (pow eps 10))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) eps) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) eps) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) eps))))) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) eps)) (*.f64 x #s(literal -5 binary64))) eps)) (pow.f64 eps #s(literal 10 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))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

rewrite366.0ms (3.4%)

Memory
39.0MiB live, 421.1MiB allocated
Rules
7 216×lower-fma.f32
7 206×lower-fma.f64
4 762×lower-*.f32
4 738×lower-*.f64
3 334×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042271
072244
1278240
21985240
08822237
Stop Event
iter limit
node limit
iter limit
Counts
24 → 452
Calls
Call 1
Inputs
(pow.f64 x #s(literal 4 binary64))
(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 (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.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)) (pow.f64 eps #s(literal 5 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 #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)))
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64))
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))
(*.f64 x x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 x x))
(/.f64 x eps)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(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 (*.f64 x (neg.f64 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)
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(fma.f64 (*.f64 x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))))
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(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal -10 binary64)) eps)
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64) (*.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64))))
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64))
(pow.f64 (exp.f64 #s(literal -5 binary64)) (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x eps) (*.f64 (-.f64 x eps) (-.f64 x eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(literal -5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 x (*.f64 x (-.f64 x eps)))))) #s(literal -5 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x (-.f64 x eps)) (*.f64 eps eps))) #s(literal -5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x eps)) (*.f64 eps eps))) #s(literal -5 binary64)))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(pow.f64 x #s(literal 5 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 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))

eval168.0ms (1.6%)

Memory
8.8MiB live, 210.3MiB allocated
Compiler

Compiled 36 006 to 2 269 computations (93.7% saved)

prune127.0ms (1.2%)

Memory
-6.1MiB live, 227.7MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 047121 059
Fresh235
Picked415
Done000
Total1 053161 069
Accuracy
100.0%
Counts
1 069 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
83.6%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
3.9%
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
38.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64)))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
85.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
71.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
85.7%
#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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
71.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
Compiler

Compiled 616 to 322 computations (47.7% saved)

simplify267.0ms (2.5%)

Memory
-47.2MiB live, 227.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
cost-diff5184
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
(/.f64 (*.f64 eps eps) x)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff320
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
cost-diff704
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
cost-diff0
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
cost-diff0
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
cost-diff960
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
Rules
5 932×lower-*.f32
5 898×lower-*.f64
5 548×lower-fma.f32
5 540×lower-fma.f64
2 436×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051441
078401
1152358
2287351
3582351
41066351
51249351
61455351
71739351
83399351
93545351
103710351
114176351
127917351
08200347
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))
eps
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 5 binary64)
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(*.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))
eps
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
#s(literal 10 binary64)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
#s(literal 10 binary64)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x (*.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 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(fma.f64 x #s(literal 5 binary64) eps)
x
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
eps
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 5 binary64)
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)
(*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(*.f64 x #s(literal 10 binary64))
#s(literal 10 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 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
eps
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))
#s(literal 10 binary64)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))
#s(literal 10 binary64)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 x (*.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 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(*.f64 eps (*.f64 #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
eps
#s(literal 5 binary64)
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(fma.f64 x #s(literal 5 binary64) eps)
x

localize170.0ms (1.6%)

Memory
8.0MiB live, 200.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
accuracy0.140625
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
accuracy0.24222878330715308
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
accuracy9.531009943824051
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
accuracy0.2265625
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
accuracy0.4031131932906235
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy9.093035252803146
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy12.834925992201416
(/.f64 (*.f64 eps eps) x)
accuracy0.0625
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
accuracy0.0625
(*.f64 x (*.f64 x x))
accuracy0.0859375
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
accuracy9.093035252803146
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
accuracy0
(*.f64 eps eps)
accuracy0.05078125
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
accuracy0.078125
(*.f64 eps (*.f64 eps eps))
accuracy9.5583737323597
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
accuracy0.0625
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
accuracy0.0625
(*.f64 x (*.f64 x x))
accuracy0.1171875
(*.f64 x (*.f64 x #s(literal 10 binary64)))
accuracy9.093035252803146
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
Samples
68.0ms186×0valid
37.0ms56×1valid
10.0ms14×2valid
Compiler

Compiled 311 to 47 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 44.0ms (49.7% of total)
ival-pow: 20.0ms (22.6% of total)
ival-add: 10.0ms (11.3% of total)
ival-div: 6.0ms (6.8% of total)
adjust: 6.0ms (6.8% of total)
ival-sub: 2.0ms (2.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
7.4MiB live, 44.2MiB allocated
Counts
24 → 492
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (patch (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 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 eps)) (patch (*.f64 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 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) (patch (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) (patch #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (patch #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x #s(literal 10 binary64))) (patch (*.f64 x (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())
Outputs
#s(alt (* 10 (* eps (pow x 3))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps (pow x 3))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
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#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
Calls

123 calls:

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

simplify397.0ms (3.7%)

Memory
9.8MiB live, 355.2MiB allocated
Algorithm
egg-herbie
Rules
17 058×lower-fma.f64
17 058×lower-fma.f32
5 972×lower-*.f64
5 972×lower-*.f32
4 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02736680
19286244
230955352
365975352
083345000
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) 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)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(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 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 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 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 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 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)))
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(/ (pow eps 2) x)
(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 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)))))
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)))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(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 x)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 10 eps)
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* 10 eps)
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* 10 eps)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 5 x)
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* 5 x)
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 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)))
Outputs
(* 10 (* eps (pow x 3)))
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(* 5 (pow x 4))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* 5 (pow x 4))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* 5 (pow x 4))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(* 10 (* eps (pow x 3)))
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps))))
(* 10 (* eps (pow x 3)))
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64)))
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(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(* 10 eps)
(*.f64 #s(literal 10 binary64) eps)
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64)))
(* eps (+ 10 (* 5 (/ x eps))))
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64)))
(* 10 eps)
(*.f64 #s(literal 10 binary64) eps)
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64))))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64))))
(* 10 eps)
(*.f64 #s(literal 10 binary64) eps)
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(+ (* 5 x) (* 10 eps))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* x (+ 5 (* 10 (/ eps x))))
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64)))
(* x (+ 5 (* 10 (/ eps x))))
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64)))
(* x (+ 5 (* 10 (/ eps x))))
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64)))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64))))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64))))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))

rewrite381.0ms (3.5%)

Memory
12.8MiB live, 410.1MiB allocated
Rules
5 920×lower-*.f32
5 886×lower-*.f64
5 504×lower-fma.f32
5 496×lower-fma.f64
4 444×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051367
078318
1290292
21766292
08430289
Stop Event
iter limit
node limit
iter limit
Counts
24 → 527
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))
(*.f64 x (*.f64 x (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 eps eps) x)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(*.f64 x (*.f64 x #s(literal 10 binary64)))
(*.f64 x (*.f64 x x))
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
Outputs
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) eps (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
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(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 eps)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (neg.f64 eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (neg.f64 eps)))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 eps)))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) eps))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (/.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (neg.f64 eps)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (neg.f64 eps)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (/.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (neg.f64 eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) eps))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) (neg.f64 eps)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 eps (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 eps (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 eps (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 eps (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (-.f64 eps (*.f64 x #s(literal 5 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (neg.f64 eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (neg.f64 eps) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (*.f64 (neg.f64 eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 (neg.f64 eps) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)))) (neg.f64 (neg.f64 (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal 1 binary64))) (neg.f64 eps))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(pow.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 x #s(literal 5 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))
(*.f64 (pow.f64 (/.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(*.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))

eval121.0ms (1.1%)

Memory
14.8MiB live, 214.0MiB allocated
Compiler

Compiled 32 335 to 1 576 computations (95.1% saved)

prune200.0ms (1.9%)

Memory
-18.3MiB live, 228.9MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 10291 111
Fresh6410
Picked325
Done011
Total1 111161 127
Accuracy
100.0%
Counts
1 127 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
83.6%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
3.9%
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Compiler

Compiled 536 to 280 computations (47.8% saved)

simplify152.0ms (1.4%)

Memory
-14.4MiB live, 100.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 x x) #s(literal 5/2 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 (*.f64 x x) #s(literal 5/2 binary64)))
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
cost-diff0
(*.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
cost-diff0
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
cost-diff448
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))
cost-diff512
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))
Rules
5 596×lower-fma.f32
5 588×lower-fma.f64
1 932×distribute-lft-out
1 782×lower-*.f32
1 750×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049432
077388
1153362
2330346
3694346
41351346
52449343
63592343
73970343
84147343
94177343
104193343
114193343
124673343
135105343
145105343
155171343
165236343
05236333
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
eps
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
x
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))
#s(literal 10 binary64)
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
eps
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(*.f64 x x)
#s(literal 5/2 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x eps) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))
(*.f64 (*.f64 x eps) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))))
eps
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))))
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))))
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
x
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))
#s(literal 10 binary64)
(*.f64 eps #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(*.f64 x #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
eps
(*.f64 eps (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(fma.f64 x #s(literal 5 binary64) eps)
x
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(*.f64 x x)
#s(literal 5/2 binary64)

localize281.0ms (2.6%)

Memory
26.9MiB live, 234.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.03419877930532605
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy0.12794877930532605
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
accuracy5.413228074263275
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
accuracy0.078125
(*.f64 eps (*.f64 eps eps))
accuracy0.140625
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
accuracy0.24222878330715308
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
accuracy9.531009943824051
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
accuracy0.0625
(*.f64 x (*.f64 x x))
accuracy0.4031131932906235
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy9.093035252803146
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy29.934592353734693
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))
accuracy0.03515625
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy0.05078125
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)
accuracy0.078125
(*.f64 eps (*.f64 eps eps))
accuracy9.5583737323597
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
accuracy0.08203125
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
accuracy0.15588629138909577
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
accuracy0.171875
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
accuracy8.983789397609891
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
Samples
110.0ms186×0valid
33.0ms57×1valid
9.0ms13×2valid
Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-pow: 42.0ms (40.8% of total)
ival-mult: 35.0ms (34% of total)
ival-add: 10.0ms (9.7% of total)
ival-div: 6.0ms (5.8% of total)
adjust: 6.0ms (5.8% of total)
ival-sub: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
2.0MiB live, 76.8MiB allocated
Counts
25 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) (patch (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (patch (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) #<representation binary64>) () ())
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps eps))) (patch (*.f64 eps (*.f64 eps (*.f64 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)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (patch #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 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 (*.f64 x x) #s(literal 5/2 binary64)) (patch (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* 10 (pow x 3)) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))
1.0ms
x
@0
(pow (* x x) 5/2)
0.0ms
eps
@0
(+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))
0.0ms
x
@-inf
(+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))
0.0ms
eps
@-inf
(+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))

simplify678.0ms (6.3%)

Memory
-3.3MiB live, 462.6MiB allocated
Algorithm
egg-herbie
Rules
14 984×lower-fma.f64
14 984×lower-fma.f32
6 372×lower-*.f64
6 372×lower-*.f32
4 126×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05056788
117686259
261666191
081025776
Stop Event
iter limit
node limit
Counts
480 → 474
Calls
Call 1
Inputs
(* 10 (pow x 3))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* 5 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* 5 (* (pow eps 2) x))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(* 10 (pow x 3))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(* 10 (pow x 3))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x)))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))))
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps)))
(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)))
(* 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)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 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)))
(* 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)
(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))))))))))
(* 2 (pow x 5))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -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)) 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(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)
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* 5 (* eps x))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* x (+ (* 5 eps) (* 10 x)))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(* 5 (* eps x))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(* 5 (* eps x))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 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))
(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)
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 x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(* 5 (* (pow eps 2) x))
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64))))
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64))))
(* 5 (* (pow eps 2) x))
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64))))
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64))))
(* 5 (* (pow eps 2) x))
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64))))
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x))))
(*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))))
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 10 (* 10 (/ eps x))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 10 binary64)))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64))))
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64))))
(* 10 (pow x 3))
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 10 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x x) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* (pow eps 3) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))))
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))
(*.f64 (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)))))
(* 5 (* (pow eps 3) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x))))
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps)))))
(*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal -5 binary64))) (*.f64 eps (*.f64 eps (neg.f64 eps))))
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps)))))
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x #s(literal -5 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5 binary64)) eps)) (neg.f64 eps))) (neg.f64 eps)))))
(* 5 (* (pow eps 3) x))
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))))
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))))
(*.f64 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (fma.f64 eps (/.f64 eps (*.f64 x x)) (/.f64 eps x)) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (fma.f64 eps (/.f64 eps (*.f64 x x)) (/.f64 eps x)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) #s(literal 5 binary64))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 5 binary64)))
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) x)) x)) x)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps))))) (*.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 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x))) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -4 binary64)) (fma.f64 eps (*.f64 eps #s(literal 6 binary64)) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)))) x))) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -4 binary64)) (fma.f64 eps (*.f64 eps #s(literal 6 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps))))) x))) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(* 5 (* (pow eps 4) x))
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(* 5 (* eps (pow x 4)))
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(* (pow x 4) (+ eps (* 4 eps)))
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(* eps (+ (* 4 (pow x 4)) (pow x 4)))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
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(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(+ 1 (* 5 (/ x eps)))
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite328.0ms (3%)

Memory
-2.2MiB live, 502.3MiB allocated
Rules
6 192×lower-fma.f32
6 184×lower-fma.f64
4 454×lower-*.f32
4 422×lower-*.f64
3 708×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049358
077316
1292282
21896282
08245277
Stop Event
iter limit
node limit
iter limit
Counts
25 → 429
Calls
Call 1
Inputs
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.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 eps (*.f64 eps eps))) eps))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))
(*.f64 x (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)
(*.f64 x x)
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(+.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))) (/.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))))
(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)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 x (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x x) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) x (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 (*.f64 (*.f64 eps x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(fma.f64 (*.f64 (*.f64 eps x) (-.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps))))) (fma.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))))) (fma.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps))))))
(/.f64 (*.f64 (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))))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (fma.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))))) (neg.f64 (fma.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64)) (-.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 (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))))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x))))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)))) (neg.f64 (neg.f64 (neg.f64 eps))))
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(exp.f64 (log.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

eval193.0ms (1.8%)

Memory
-23.8MiB live, 214.6MiB allocated
Compiler

Compiled 32 625 to 1 961 computations (94% saved)

prune201.0ms (1.9%)

Memory
0.7MiB live, 280.1MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New1 01881 026
Fresh358
Picked145
Done033
Total1 022201 042
Accuracy
100.0%
Counts
1 042 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
83.6%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
79.2%
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
85.1%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
85.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
85.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
85.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
85.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Compiler

Compiled 1 090 to 344 computations (68.4% saved)

regimes35.0ms (0.3%)

Memory
16.4MiB live, 57.5MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
Calls

3 calls:

13.0ms
eps
11.0ms
x
9.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.5%3x
97.1%3eps
99.2%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)

regimes12.0ms (0.1%)

Memory
-18.3MiB live, 19.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-23.4MiB live, 14.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
97.6%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
99.1%3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes6.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-25.0MiB live, 11.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) 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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-34.8MiB live, 6.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) 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 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) 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 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) 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 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-22.9MiB live, 14.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#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 (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
Calls

3 calls:

4.0ms
eps
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.0%1eps
85.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
85.0%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
85.0%1x
85.0%1eps
85.0%1(-.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)

bsearch65.0ms (0.6%)

Memory
12.6MiB live, 51.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.5630623999432261e-54
1.6289194025932258e-52
46.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Samples
28.0ms41×0valid
25.0ms183×1valid
Compiler

Compiled 560 to 334 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 28.0ms (59.4% of total)
ival-pow: 12.0ms (25.5% of total)
adjust: 4.0ms (8.5% of total)
ival-sub: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
16.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Samples
11.0ms68×1valid
2.0ms28×0valid
Compiler

Compiled 602 to 334 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow: 6.0ms (59.9% of total)
adjust: 2.0ms (20% of total)
ival-add: 1.0ms (10% of total)
ival-sub: 1.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-23.8MiB live, 14.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Samples
6.0ms50×1valid
1.0ms14×0valid
Compiler

Compiled 490 to 292 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-pow: 2.0ms (41.1% of total)
adjust: 1.0ms (20.6% of total)
ival-add: 1.0ms (20.6% of total)
ival-sub: 1.0ms (20.6% 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
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 686 to 362 computations (47.2% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 665 to 348 computations (47.7% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 644 to 348 computations (46% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 588 to 313 computations (46.8% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 476 to 271 computations (43.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 455 to 264 computations (42% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 462 to 264 computations (42.9% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 462 to 264 computations (42.9% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
0.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 420 to 236 computations (43.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
0.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 420 to 236 computations (43.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
0.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 413 to 236 computations (42.9% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5630623999432261e-54
1.6289194025932258e-52
1.0ms
-2.7383540265233504e-51
-9.974988460838978e-53
Compiler

Compiled 406 to 236 computations (41.9% saved)

simplify45.0ms (0.4%)

Memory
-33.2MiB live, 23.0MiB allocated
Algorithm
egg-herbie
Rules
80×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631678
12081678
22121678
32141678
42151678
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -8222783733480945/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 1811708416032523/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 1811708416032523/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) 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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.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 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x)))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))
Outputs
(if (<=.f64 x #s(literal -8222783733480945/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -8222783733480945/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))))))))))
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(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #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 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.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 (*.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))))

soundness2.2s (20.4%)

Memory
23.2MiB live, 1 533.1MiB allocated
Rules
19 244×lower-fma.f64
19 244×lower-fma.f32
17 058×lower-fma.f64
17 058×lower-fma.f32
14 984×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010289144
136218603
084058076
05056788
117686259
261666191
081025776
051367
078318
1290292
21766292
08430289
02736680
19286244
230955352
365975352
083345000
042271
072244
1278240
21985240
08822237
02451372
18171243
228601056
08403988
049358
077316
1292282
21896282
08245277
Stop Event
fuel
iter limit
node limit
iter 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
node limit
Compiler

Compiled 1 737 to 666 computations (61.7% saved)

preprocess118.0ms (1.1%)

Memory
-11.5MiB live, 183.1MiB allocated
Compiler

Compiled 1 746 to 200 computations (88.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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