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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 19 computations (24% saved)

sample1.9s (31.3%)

Memory
1.0MiB live, 2 359.1MiB allocated; 569ms collecting garbage
Samples
822.0ms6 625×0valid
395.0ms1 306×1valid
163.0ms325×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-pow: 522.0ms (48.3% of total)
ival-<=: 167.0ms (15.4% of total)
adjust: 164.0ms (15.2% of total)
ival-sub: 102.0ms (9.4% of total)
ival-add: 77.0ms (7.1% of total)
ival-and: 24.0ms (2.2% of total)
exact: 21.0ms (1.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain117.0ms (1.9%)

Memory
18.3MiB live, 258.3MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))cancellation330
Confusion
Predicted +Predicted -
+330
-0223
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3300
-00223
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms406×0valid
18.0ms90×1valid
4.0ms16×2valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-pow: 25.0ms (66.3% of total)
adjust: 5.0ms (13.3% of total)
ival-add: 4.0ms (10.6% of total)
ival-sub: 3.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess13.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01953
12253
079
0119
1129
0129
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory
-41.0MiB live, 4.9MiB allocated; 4ms collecting garbage
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11223
01223
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

localize38.0ms (0.6%)

Memory
11.5MiB live, 53.7MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 5 binary64))
accuracy0.0
(+.f64 x eps)
accuracy0.0234375
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy7.476719101104865
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Samples
15.0ms203×0valid
9.0ms2valid
8.0ms45×1valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 10.0ms (59.3% of total)
adjust: 3.0ms (17.8% of total)
ival-add: 2.0ms (11.9% of total)
ival-sub: 2.0ms (11.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
4 → 49
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
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Calls

6 calls:

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

simplify179.0ms (2.9%)

Memory
20.0MiB live, 258.1MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971605
19521474
241701426
081661338
Stop Event
iter limit
node limit
Counts
49 → 49
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5)))
#s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (pow (+ x eps) 5) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (pow x 5) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5)))
#s(approx (pow (+ x eps) 5) (pow.f64 x #s(literal 5 binary64)))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))))
#s(approx (pow (+ x eps) 5) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))))
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (*.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))))
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) x))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 eps x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))
#s(approx (pow (+ x eps) 5) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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))))
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (pow (+ x eps) 5) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))))))))
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps))) eps)) (neg.f64 eps)) #s(literal 1 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (pow (+ x eps) 5) #s(hole 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)))))
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps))) eps)) (neg.f64 eps)) #s(literal 1 binary64))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

rewrite56.0ms (0.9%)

Memory
-20.4MiB live, 117.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15020
035020
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 40
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))
Outputs
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))
(fma.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(fma.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 5 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x eps)
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 x #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))))

eval10.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 151 to 398 computations (81.5% saved)

prune27.0ms (0.4%)

Memory
-37.6MiB live, 25.3MiB allocated; 25ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New781088
Fresh000
Picked011
Done000
Total781189
Accuracy
100.0%
Counts
89 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
87.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
82.2%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps))) eps)) (neg.f64 eps)) #s(literal 1 binary64))))
78.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Compiler

Compiled 575 to 373 computations (35.1% saved)

simplify195.0ms (3.2%)

Memory
29.6MiB live, 165.7MiB allocated; 20ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
cost-diff5
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
cost-diff2
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x))
cost-diff5
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
cost-diff0
(/.f64 x eps)
cost-diff0
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
cost-diff0
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036307
062287
1114262
2312262
31119262
43973259
08122256
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal 5 binary64)
x
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x))
#s(literal 5 binary64)
eps
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
#s(literal 6 binary64)
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 4 binary64))
#s(literal 4 binary64)
x
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 6 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
eps
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 5 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal 5 binary64)
x
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x))
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))
#s(literal 5 binary64)
eps
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
#s(literal 6 binary64)
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 4 binary64))
#s(literal 4 binary64)
x
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 6 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
eps
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 5 binary64)

localize173.0ms (2.8%)

Memory
24.0MiB live, 205.2MiB allocated; 33ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
accuracy0.11556625976844201
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
accuracy0.158535009768442
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
accuracy0.07259750976844201
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
accuracy0.162441259768442
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
accuracy14.890527314471566
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)
accuracy0.0
(/.f64 x eps)
accuracy0.01953125
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.15234375
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy7.793548986656813
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
accuracy0.0
(pow.f64 eps #s(literal 5 binary64))
accuracy8.013943853056876
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy0.0
(pow.f64 eps #s(literal 4 binary64))
accuracy0.015625
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
accuracy0.09765625
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
accuracy7.793548986656813
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
Samples
91.0ms195×0valid
35.0ms51×1valid
9.0ms10×2valid
Compiler

Compiled 257 to 39 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-pow: 56.0ms (52.3% of total)
ival-mult: 24.0ms (22.4% of total)
adjust: 11.0ms (10.3% of total)
ival-add: 10.0ms (9.3% of total)
ival-div: 4.0ms (3.7% of total)
ival-sub: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory
-23.2MiB live, 81.4MiB allocated; 12ms collecting garbage
Counts
20 → 80
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps)))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps)))
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5))
9.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5))
5.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5))
5.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5))
5.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5))

simplify171.0ms (2.8%)

Memory
2.4MiB live, 139.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872164
112691936
255631848
085611729
Stop Event
iter limit
node limit
Counts
80 → 80
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps)))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps)))
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps eps) (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 5) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps)))))
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3))))
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps)))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (* (pow x 4) 5) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64))) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps))))
#s(approx (+ (* (/ x eps) 5) 1) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) x)) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4))))
#s(approx (* (pow eps 4) 5) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (pow eps 4) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5)))
#s(approx (pow eps 5) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps)))
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))))
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64)))))

rewrite240.0ms (3.9%)

Memory
32.5MiB live, 164.4MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036258
062238
1245213
21880213
08861213
Stop Event
iter limit
node limit
iter limit
Counts
20 → 552
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 eps #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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))))
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(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64))) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x))
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 6 binary64) eps) (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 6 binary64) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x))
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x))
(fma.f64 eps (/.f64 (*.f64 #s(literal 4 binary64) eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps eps)) #s(literal 18 binary64)) x) (/.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps eps)) #s(literal 8 binary64)) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 6 binary64) eps)) eps) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 eps eps)) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 eps eps)) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (neg.f64 eps) (*.f64 #s(literal 4 binary64) eps)) x))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)))
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) x) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) x))
(+.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))
(*.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))

eval160.0ms (2.6%)

Memory
-65.6MiB live, 117.6MiB allocated; 128ms collecting garbage
Compiler

Compiled 25 817 to 3 048 computations (88.2% saved)

prune20.0ms (0.3%)

Memory
-1.7MiB live, 43.4MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New6629671
Fresh415
Picked415
Done011
Total67012682
Accuracy
100.0%
Counts
682 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
81.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
78.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
Compiler

Compiled 552 to 377 computations (31.7% saved)

simplify144.0ms (2.3%)

Memory
20.3MiB live, 117.5MiB allocated; 27ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
cost-diff0
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
cost-diff2
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
cost-diff0
(*.f64 #s(literal 5 binary64) eps)
cost-diff0
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
cost-diff0
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
cost-diff2
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
cost-diff4
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))
cost-diff0
(pow.f64 eps #s(literal 4 binary64))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054381
078369
1159340
2522325
32655325
08076312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
#s(literal 5 binary64)
eps
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 eps eps)
#s(literal 10 binary64)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
#s(literal 10 binary64)
(*.f64 eps eps)
eps
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 eps x)
#s(literal 5 binary64)
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
(*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))
#s(literal 5 binary64)
eps
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps))
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (*.f64 eps eps))
(*.f64 eps eps)
#s(literal 10 binary64)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))))
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps)
#s(literal 10 binary64)
(*.f64 eps eps)
eps
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
(*.f64 eps x)
#s(literal 5 binary64)

localize182.0ms (3%)

Memory
-35.7MiB live, 157.3MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06478500976844201
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
accuracy0.09765625
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
accuracy0.2057800781475361
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.04296875
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
accuracy0.0546875
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
accuracy10.316420293981835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
accuracy0.0
(*.f64 #s(literal 5 binary64) eps)
accuracy0.07259750976844201
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
accuracy29.119796313467813
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
accuracy0.17446007069442182
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
accuracy4.779411834467117
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
accuracy14.890527314471566
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
accuracy0.0
(fma.f64 #s(literal 5 binary64) x eps)
accuracy0.0
(pow.f64 eps #s(literal 4 binary64))
accuracy0.046875
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
accuracy7.793548986656813
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
Samples
82.0ms188×0valid
53.0ms55×1valid
12.0ms13×2valid
Compiler

Compiled 268 to 47 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-pow: 56.0ms (45.8% of total)
ival-mult: 37.0ms (30.3% of total)
adjust: 12.0ms (9.8% of total)
ival-add: 10.0ms (8.2% of total)
ival-div: 4.0ms (3.3% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory
43.1MiB live, 43.1MiB allocated; 0ms collecting garbage
Counts
23 → 96
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
(pow.f64 eps #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5))
5.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5))
4.0ms
x
@-inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5))
4.0ms
eps
@0
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5))
4.0ms
x
@inf
((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5))

simplify190.0ms (3.1%)

Memory
-38.9MiB live, 147.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04352555
114222264
263622240
080712096
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) eps)
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (/.f64 eps x)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (/.f64 eps x)))
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (pow x 4) eps) 5) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4))))
#s(approx (* (pow x 4) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (/ (* (* eps eps) 10) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x))))
#s(approx (* (* eps x) 5) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 #s(literal -6 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal -5 binary64) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps)) eps)) eps))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (pow eps 4) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps)))
#s(approx (* 5 eps) (*.f64 #s(literal 5 binary64) eps))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (* (* eps eps) 10) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (*.f64 x (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps)))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 10 binary64)) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (fma.f64 (*.f64 x x) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))))

rewrite213.0ms (3.5%)

Memory
-10.3MiB live, 145.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054342
078322
1293297
22324297
09679291
Stop Event
iter limit
node limit
iter limit
Counts
23 → 623
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
(pow.f64 eps #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)
(*.f64 (*.f64 eps eps) #s(literal 10 binary64))
(*.f64 (*.f64 eps x) #s(literal 5 binary64))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
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eval96.0ms (1.6%)

Memory
38.9MiB live, 124.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 31 507 to 3 711 computations (88.2% saved)

prune25.0ms (0.4%)

Memory
13.9MiB live, 57.5MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New70011711
Fresh235
Picked415
Done022
Total70617723
Accuracy
100.0%
Counts
723 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
83.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
78.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
72.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
Compiler

Compiled 912 to 580 computations (36.4% saved)

simplify182.0ms (3%)

Memory
-34.9MiB live, 117.7MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
cost-diff0
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
cost-diff0
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
cost-diff2
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
cost-diff4
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
cost-diff0
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
cost-diff0
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
cost-diff0
(fma.f64 #s(literal 5 binary64) x eps)
cost-diff0
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
cost-diff0
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
cost-diff4
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054377
075367
1166351
2567323
32682323
47449323
08012320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 (*.f64 eps x) eps)
(*.f64 eps x)
eps
x
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
(*.f64 x x)
x
(*.f64 (*.f64 x x) eps)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
eps
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 5 binary64)
eps
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
(pow.f64 eps #s(literal 4 binary64))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))))
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 (*.f64 eps x) eps)
(*.f64 eps x)
eps
x
#s(literal 10 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(*.f64 x x)
x
(*.f64 (*.f64 x x) eps)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))))
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps)
eps
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 5 binary64)
eps

localize191.0ms (3.1%)

Memory
26.7MiB live, 168.4MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.03515625
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
accuracy0.11556625976844201
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
accuracy10.316420293981835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
accuracy0.06316376953688403
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
accuracy0.10546875
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
accuracy0.22265625
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
accuracy0.046875
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
accuracy0.0546875
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
accuracy0.08984375
(*.f64 (*.f64 x x) eps)
accuracy10.316420293981835
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
accuracy0.06316376953688403
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
accuracy0.13208508277819156
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
accuracy10.204110618004684
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
accuracy13.07231891023734
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
accuracy0.0
(*.f64 eps eps)
accuracy0.046875
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
accuracy0.11328125
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
accuracy7.793548986656813
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
Samples
100.0ms59×1valid
57.0ms185×0valid
9.0ms12×2valid
Compiler

Compiled 256 to 46 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 52.0ms (50.3% of total)
ival-pow: 20.0ms (19.4% of total)
adjust: 14.0ms (13.5% of total)
ival-add: 8.0ms (7.7% of total)
ival-sub: 7.0ms (6.8% of total)
ival-div: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
11.3MiB live, 56.3MiB allocated; 5ms collecting garbage
Counts
23 → 84
Calls
Call 1
Inputs
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 x x) eps)
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4))))
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 5 (* eps x))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
eps
@0
((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x))))
7.0ms
x
@inf
((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x))))
5.0ms
eps
@-inf
((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x))))
4.0ms
eps
@inf
((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x))))
4.0ms
x
@-inf
((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x))))

simplify235.0ms (3.8%)

Memory
-12.9MiB live, 169.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03992234
113022042
257832018
084541893
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4))))
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 5 (* eps x))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5)))
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5)))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 5 x) eps) eps)
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x))))
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x))
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* (* eps x) eps) 10) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)))
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4))))
#s(approx (* (* x x) (* (* x x) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (pow x 4) 5) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x))
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (pow x 4) 5) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4))))
#s(approx (* (pow x 4) 5) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (* x x) eps) (*.f64 (*.f64 x eps) x))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 5 (* (pow eps 4) x))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x)))
#s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x)))))
#s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4)))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 5 (* eps (pow x 2)))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 5 (* eps x))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64)))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5)))))
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x))
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4)))
#s(approx (* (* eps eps) (* eps eps)) (pow.f64 eps #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64) (*.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x)))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps)))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (*.f64 x (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps))))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps))))))
#s(approx (+ (* 5 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps))
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))))
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps))))))
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 10 binary64)) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (fma.f64 #s(literal -6 binary64) (*.f64 x x) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))))
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1)))))
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))))

rewrite161.0ms (2.6%)

Memory
9.0MiB live, 163.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054337
075301
1269295
21833295
08868290
Stop Event
iter limit
node limit
iter limit
Counts
23 → 291
Calls
Call 1
Inputs
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 x x) eps)
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))
Outputs
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 eps))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps)
(*.f64 (neg.f64 eps) (pow.f64 eps #s(literal 3 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(/.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))))
(fma.f64 (*.f64 #s(literal 10 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 10 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (neg.f64 eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) (*.f64 x eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 eps (neg.f64 (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 eps (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))
(-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -5 binary64) x) eps))
(-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal 5 binary64) x)))
(+.f64 (/.f64 (*.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))))
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))

eval68.0ms (1.1%)

Memory
-9.6MiB live, 37.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 15 161 to 1 793 computations (88.2% saved)

prune37.0ms (0.6%)

Memory
-4.4MiB live, 41.5MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4208428
Fresh549
Picked325
Done033
Total42817445
Accuracy
100.0%
Counts
445 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
87.5%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
87.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
71.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
78.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
87.7%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
87.4%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
84.0%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
83.9%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
83.8%
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
Compiler

Compiled 1 653 to 554 computations (66.5% saved)

regimes37.0ms (0.6%)

Memory
-15.9MiB live, 34.4MiB allocated; 5ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps))) eps)) (neg.f64 eps)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Calls

3 calls:

17.0ms
x
10.0ms
eps
7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.5%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
98.8%3x
97.5%3eps
Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.5%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.5%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

6.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.2%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
Calls

1 calls:

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

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
Calls

1 calls:

5.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes28.0ms (0.5%)

Memory
-41.1MiB live, 5.6MiB allocated; 2ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
Calls

1 calls:

27.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
Calls

1 calls:

4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
Calls

1 calls:

4.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))
Calls

1 calls:

3.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
99.0%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.5%3x
98.6%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
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 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.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
87.4%1eps
87.4%1x
87.4%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-6.416736230840702e-293
-4.531242444005844e-293
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.468663831374158e-305
0.0ms
-3.5189583231999245e-293
0.0
Compiler

Compiled 12 to 12 computations (0% saved)

simplify75.0ms (1.2%)

Memory
-12.4MiB live, 78.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0130915
1206911
2410911
31180911
43586909
56994909
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
Outputs
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(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))

derivations670.0ms (10.9%)

Memory
28.8MiB live, 401.4MiB allocated; 103ms collecting garbage
Stop Event
fuel
Compiler

Compiled 927 to 131 computations (85.9% saved)

preprocess104.0ms (1.7%)

Memory
-31.1MiB live, 66.0MiB allocated; 38ms collecting garbage
Compiler

Compiled 1 872 to 276 computations (85.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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