ENA, Section 1.4, Exercise 4d

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.8%87.2%0%0%0%0
0%0%12.8%87.2%0%0%0%1
0%0%12.8%87.2%0%0%0%2
50%6.4%6.4%87.2%0%0%0%3
57.1%6.4%4.8%87.2%0%1.6%0%4
69.2%7.2%3.2%87.2%0%2.4%0%5
75%7.2%2.4%87.2%0%3.2%0%6
82.6%7.6%1.6%87.2%0%3.6%0%7
86.4%7.6%1.2%87.2%0%4%0%8
90.7%7.8%0.8%87.2%0%4.2%0%9
92.6%7.8%0.6%87.2%0%4.4%0%10
95%7.9%0.4%87.2%0%4.5%0%11
96.3%8%0.3%87.2%0%4.5%0%12
Compiler

Compiled 24 to 18 computations (25% saved)

sample1.6s (15.7%)

Memory
2.8MiB live, 1 416.7MiB allocated
Samples
489.0ms4 883×0valid
434.0ms2 783×1valid
120.0ms590×2valid
10.0ms156×0invalid
Precisions
Click to see histograms. Total time spent on operations: 820.0ms
ival-<=: 212.0ms (25.8% of total)
adjust: 185.0ms (22.6% of total)
ival-sqrt: 142.0ms (17.3% of total)
ival-sub: 140.0ms (17.1% of total)
ival-mult: 97.0ms (11.8% of total)
ival-and: 24.0ms (2.9% of total)
exact: 17.0ms (2.1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain97.0ms (0.9%)

Memory
5.8MiB live, 83.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
00-0-eps
00-0-(sqrt.f64 (-.f64 (*.f64 x x) eps))
00-0-(-.f64 (*.f64 x x) eps)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))cancellation1151
Confusion
Predicted +Predicted -
+1150
-0141
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11500
-01140
Precision?
0.9913793103448276
Recall?
1.0
Freqs
test
numberfreq
0141
1115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms186×1valid
15.0ms296×0valid
4.0ms30×2valid
Compiler

Compiled 84 to 28 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
adjust: 12.0ms (38.6% of total)
ival-sub: 7.0ms (22.5% of total)
ival-sqrt: 6.0ms (19.3% of total)
ival-mult: 5.0ms (16.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory
-5.5MiB live, 31.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
14344
211841
328041
449841
557241
658641
068
0108
1148
2228
3348
4528
5968
61638
72138
83018
93338
103498
03498
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) eps)
cost-diff0
(sqrt.f64 (-.f64 (*.f64 x x) eps))
cost-diff0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0624
01024
11424
22224
33424
45224
59624
616324
721324
830124
933324
1034924
034924
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
x
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps

localize31.0ms (0.3%)

Memory
-7.5MiB live, 37.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.01953125
(-.f64 (*.f64 x x) eps)
accuracy0.01953125
(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy25.451215999132007
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Samples
15.0ms93×1valid
7.0ms148×0valid
2.0ms15×2valid
Compiler

Compiled 50 to 14 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
adjust: 3.0ms (23.7% of total)
ival-sqrt: 3.0ms (23.7% of total)
ival-mult: 3.0ms (23.7% of total)
ival-sub: 3.0ms (23.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
4 → 49
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))
2.0ms
x
@inf
((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))
1.0ms
x
@0
((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))
1.0ms
eps
@-inf
((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))
1.0ms
eps
@0
((- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x))

simplify177.0ms (1.7%)

Memory
-2.6MiB live, 183.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571067
17841053
226291015
370851012
08084948
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
(pow x 2)
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
Outputs
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(pow x 2)
(*.f64 x x)
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) x)) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -2 binary64)))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -1 binary64))) x)
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(+ x (* -1/2 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x)
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps)) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps)))) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps)
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) eps)) eps)
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 eps) x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) eps)) eps)) eps)
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)

rewrite175.0ms (1.7%)

Memory
7.9MiB live, 234.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01022
14222
231022
3360222
0854022
Stop Event
iter limit
node limit
iter limit
Counts
4 → 224
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)))) (-.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) (-.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (fma.f64 x x eps) (*.f64 x x))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(*.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x eps)))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 eps) eps (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x eps) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 eps) eps (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 x x eps) eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x eps) eps)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 x x eps) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 x x eps) eps) (-.f64 (*.f64 (fma.f64 x x eps) eps) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 eps) eps (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 x x) eps) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 #s(literal -1 binary64) eps (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x eps) #s(literal -1 binary64)) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x eps)) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 eps #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x eps)) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x eps)) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(fma.f64 x x (neg.f64 eps))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) eps)
(-.f64 #s(literal 0 binary64) (-.f64 eps (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (*.f64 eps (/.f64 eps (fma.f64 x x eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) eps)
(fabs.f64 (-.f64 (*.f64 x x) eps))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (neg.f64 (*.f64 eps (/.f64 eps (fma.f64 x x eps)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x x eps) eps (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (neg.f64 eps) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 eps))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval103.0ms (1%)

Memory
-44.4MiB live, 95.6MiB allocated
Compiler

Compiled 7 015 to 1 083 computations (84.6% saved)

prune18.0ms (0.2%)

Memory
16.1MiB live, 54.3MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New25019269
Fresh000
Picked011
Done000
Total25020270
Accuracy
99.7%
Counts
270 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
59.9%
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
59.8%
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
59.9%
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
44.8%
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
52.6%
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))))
52.5%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
45.1%
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) eps)))
52.7%
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
59.8%
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
60.2%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
60.0%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
54.2%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
7.8%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
3.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
60.0%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
27.3%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
31.5%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
40.4%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
46.3%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
Compiler

Compiled 902 to 474 computations (47.5% saved)

simplify121.0ms (1.2%)

Memory
-7.7MiB live, 149.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
cost-diff0
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
cost-diff0
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
cost-diff0
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) eps)
cost-diff0
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
cost-diff0
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
cost-diff0
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
cost-diff0
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))
cost-diff0
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
cost-diff0
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
cost-diff896
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038292
066295
1100295
2173295
3349295
4650280
51865280
65613280
77824280
08090280
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
x
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(/.f64 x eps)
eps
#s(literal -1 binary64)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
x
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
(neg.f64 x)
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
x
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
(sqrt.f64 (-.f64 (*.f64 x x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
eps
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
eps
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
Outputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (-.f64 (*.f64 x x) eps))))
x
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
(sqrt.f64 #s(approx (- (* x x) eps) (-.f64 (*.f64 x x) eps)))
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (- (* x x) eps) (-.f64 (*.f64 x x) eps))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(-.f64 (*.f64 x x) eps)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(fma.f64 (/.f64 x eps) x #s(literal -1 binary64))
(/.f64 x eps)
eps
#s(literal -1 binary64)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
x
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
(neg.f64 x)
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
x
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
(sqrt.f64 (-.f64 (*.f64 x x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
eps
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
eps
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

localize165.0ms (1.6%)

Memory
-0.1MiB live, 159.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy5.9720878596579805
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy8.349726972629286
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
accuracy28.87086049881324
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy34.15257830028413
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy0.150722509768442
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy6.636162068266119
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
accuracy6.676161823903727
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
accuracy35.19298160951386
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
accuracy0.01953125
(-.f64 (*.f64 x x) eps)
accuracy0.01953125
(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy0.390625
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy25.451215999132007
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
accuracy0.0
(neg.f64 x)
accuracy25.451215999132007
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
accuracy62.45952536791358
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
accuracy0.01953125
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
accuracy0.12109375
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
accuracy0.37481270174522724
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
accuracy25.451215999132007
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
Samples
41.0ms93×1valid
32.0ms148×0valid
14.0ms15×2valid
Compiler

Compiled 529 to 72 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 16.0ms (25.7% of total)
ival-div: 11.0ms (17.7% of total)
ival-sqrt: 8.0ms (12.8% of total)
adjust: 7.0ms (11.2% of total)
ival-sub: 6.0ms (9.6% of total)
ival-pow: 6.0ms (9.6% of total)
ival-add: 6.0ms (9.6% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
10.5MiB live, 45.3MiB allocated
Counts
22 → 92
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
(neg.f64 x)
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
Outputs
(* -1 eps)
(+ (* -1 eps) (pow x 2))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(- (pow x 2) eps)
(* -1 x)
(pow x 2)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(* 1/16 (/ (pow eps 3) (pow x 5)))
(/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))
(* 1/16 (/ (pow eps 2) (pow x 5)))
(/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 5))
(* 1/16 (/ eps (pow x 5)))
(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 5))
-1
(- (/ (pow x 2) eps) 1)
(/ eps (pow x 5))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2))))) x)
(/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 3))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (- (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))) 1/2) x))
(* -1 (/ (- (* -1/16 (/ eps (pow x 2))) 1/8) (pow x 3)))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))
(/ (+ (* -1 eps) (pow x 2)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 2) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/16 (/ 1 (pow x 5))) (* 1/8 (/ 1 (* eps (pow x 3))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (+ (* x (/ x eps)) -1) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
6.0ms
eps
@inf
((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (+ (* x (/ x eps)) -1) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
5.0ms
x
@0
((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (+ (* x (/ x eps)) -1) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
4.0ms
eps
@-inf
((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (+ (* x (/ x eps)) -1) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))
3.0ms
eps
@0
((* (+ (* x (/ x eps)) -1) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (/ (- (* x x) eps) (sqrt (- (* x x) eps)))) (/ (- (* x x) eps) (sqrt (- (* x x) eps))) (- (* x x) eps) (* x x) (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) (- x (sqrt (- (* x x) eps))) (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (+ (* x (/ x eps)) -1) (sqrt (- (* x x) eps)) (/ eps (pow x 5)))

simplify550.0ms (5.4%)

Memory
-23.3MiB live, 218.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03581679
110641661
234271611
083311511
Stop Event
iter limit
node limit
Counts
92 → 91
Calls
Call 1
Inputs
(* -1 eps)
(+ (* -1 eps) (pow x 2))
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(- (pow x 2) eps)
(* -1 x)
(pow x 2)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 3))
(* 1/16 (/ (pow eps 3) (pow x 5)))
(/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))
(* 1/16 (/ (pow eps 2) (pow x 5)))
(/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 5))
(/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 5))
(* 1/16 (/ eps (pow x 5)))
(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 5))
-1
(- (/ (pow x 2) eps) 1)
(/ eps (pow x 5))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(/ (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2))))) x)
(/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 3))
(/ (pow x 2) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (- (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))) 1/2) x))
(* -1 (/ (- (* -1/16 (/ eps (pow x 2))) 1/8) (pow x 3)))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))
(/ (+ (* -1 eps) (pow x 2)) eps)
(* eps (- (/ (pow x 2) eps) 1))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* (pow eps 2) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))
(* eps (+ (* 1/16 (/ 1 (pow x 5))) (* 1/8 (/ 1 (* eps (pow x 3))))))
Outputs
(* -1 eps)
(neg.f64 eps)
(+ (* -1 eps) (pow x 2))
(fma.f64 x x (neg.f64 eps))
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x))
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (fma.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))))
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(* 1/8 (/ (pow eps 2) (pow x 3)))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (/ eps (pow x 3)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps)
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 1/16 (/ (pow eps 3) (pow x 5)))
(*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/ (+ (* 1/16 (pow eps 3)) (* 1/8 (* (pow eps 2) (pow x 2)))) (pow x 5))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* 1/16 (pow eps 3)) (* (pow x 2) (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))))) (pow x 5))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/16 (/ (pow eps 2) (pow x 5)))
(*.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps) eps)
(/ (+ (* 1/16 (pow eps 2)) (* 1/8 (* eps (pow x 2)))) (pow x 5))
(/.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* 1/16 (pow eps 2)) (* (pow x 2) (+ (* 1/8 eps) (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/16 (/ eps (pow x 5)))
(*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps)
(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow x 2) eps) 1)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(/ eps (pow x 5))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x x))) x) x)
(* 1/2 (/ eps x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x)
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(/ (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) x)
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(/ (+ 1/2 (+ (* 1/16 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ eps (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)
(/ (+ 1/8 (* 1/16 (/ eps (pow x 2)))) (pow x 3))
(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (pow x 2) eps)
(/.f64 (*.f64 x x) eps)
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -2 binary64)))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 eps x) #s(literal -1 binary64))) x)
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(* -1 (/ (- (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))) 1/2) x))
(/.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1/16 (/ eps (pow x 2))) 1/8) (pow x 3)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(+ x (* -1/2 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) x) eps x)
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x)
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
(+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ (* -1 eps) (pow x 2)) eps)
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps)) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x eps)))) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps)
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) eps)
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* (pow eps 3) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps x) eps)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 2) (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) eps)
(* (pow eps 2) (+ (/ 1/8 (* eps (pow x 3))) (+ (/ 1/2 (* (pow eps 2) x)) (* 1/16 (/ 1 (pow x 5))))))
(*.f64 eps (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps x) eps)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))))
(* eps (+ (* 1/8 (/ 1 (* eps (pow x 3)))) (* 1/16 (/ 1 (pow x 5)))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (+.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 eps) x) x) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))) eps)) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (neg.f64 eps))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) (neg.f64 eps))
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))) eps)) (* 1/16 (/ 1 (pow x 5))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 eps #s(literal 3 binary64)))
(* eps (+ (* 1/16 (/ 1 (pow x 5))) (* 1/8 (/ 1 (* eps (pow x 3))))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))

rewrite262.0ms (2.6%)

Memory
15.4MiB live, 366.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038251
066245
1248245
21987239
09882239
Stop Event
iter limit
node limit
iter limit
Counts
22 → 781
Calls
Call 1
Inputs
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x))
(neg.f64 x)
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)
(fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
Outputs
(*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)
(*.f64 eps (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (/.f64 x eps) x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x eps) x #s(literal 1 binary64)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (neg.f64 x))))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (pow.f64 (fma.f64 x x eps) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (pow.f64 (pow.f64 (fma.f64 x x eps) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (-.f64 (*.f64 x x) eps))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) eps) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps))) (-.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) (neg.f64 eps))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) eps)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (sqrt.f64 (neg.f64 (fma.f64 x x eps))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))) (fma.f64 x x eps))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -3/2 binary64))) (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (*.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (neg.f64 eps))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (fma.f64 x x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (neg.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 x (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) eps)
(*.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))))
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(*.f64 eps (pow.f64 x #s(literal -5 binary64)))
(pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal -1 binary64))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (/.f64 eps (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps))
(/.f64 (neg.f64 eps) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)))
(/.f64 eps (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (/.f64 (neg.f64 eps) (pow.f64 x #s(literal 5 binary64))))
(neg.f64 (/.f64 eps (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) #s(literal -1 binary64)))

eval157.0ms (1.5%)

Memory
-7.9MiB live, 242.7MiB allocated
Compiler

Compiled 31 251 to 4 162 computations (86.7% saved)

prune46.0ms (0.4%)

Memory
4.2MiB live, 83.0MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New88914903
Fresh7714
Picked235
Done011
Total89825923
Accuracy
99.9%
Counts
923 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
59.7%
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
59.9%
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
52.5%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
52.2%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)))
52.7%
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
59.8%
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
60.2%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
60.0%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
54.2%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
7.8%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
3.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
64.5%
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
27.3%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
39.8%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) eps) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) (/.f64 #s(literal 1/2 binary64) x))))
40.4%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
32.7%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 #s(approx (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
44.7%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) eps))
41.1%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (neg.f64 (neg.f64 x)))) eps))
34.1%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
46.3%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
44.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
41.1%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) eps))
27.5%
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (/.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))))
18.3%
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 1 440 to 762 computations (47.1% saved)

simplify202.0ms (2%)

Memory
7.9MiB live, 127.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
cost-diff128
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
cost-diff320
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
cost-diff6144
(fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff2688
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
cost-diff3328
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
cost-diff0
(-.f64 (*.f64 x x) eps)
cost-diff0
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff128
(neg.f64 (-.f64 (*.f64 x x) eps))
cost-diff896
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
cost-diff0
(neg.f64 eps)
cost-diff0
#s(approx (- (* x x) eps) (neg.f64 eps))
cost-diff0
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
cost-diff0
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
cost-diff0
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
cost-diff1664
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038399
067364
1132355
2335317
31328317
46023312
08370311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
x
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 x x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
x
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
(neg.f64 eps)
eps
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
x
(neg.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 x x)
x
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
(*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps)
(/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps #s(literal -1/8 binary64))
eps
#s(literal -1/8 binary64)
x
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
Outputs
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps) x)
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x)
x
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 x x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
x
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
(neg.f64 eps)
eps
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
eps
x
(neg.f64 (-.f64 (*.f64 x x) eps))
(-.f64 eps (*.f64 x x))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
eps
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) eps)
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x))
(*.f64 x x)
x
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
eps
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps)))
(*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps)
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps))
(/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 eps #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) eps)
eps
#s(literal -1/8 binary64)
x
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(neg.f64 (pow.f64 x #s(literal 4 binary64)))

localize253.0ms (2.5%)

Memory
10.5MiB live, 168.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
accuracy6.636162068266119
(*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps)
accuracy26.583555606455974
(/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
accuracy35.19298160951386
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
accuracy0.21484375
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
accuracy0.3359375
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy11.31860473903916
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
accuracy18.615021582933014
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
accuracy0.01953125
(-.f64 (*.f64 x x) eps)
accuracy0.01953125
(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy0.3125
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy25.413608275181122
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
accuracy0.0
(neg.f64 eps)
accuracy0.01953125
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
accuracy25.451215999132007
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
accuracy28.287992535869385
#s(approx (- (* x x) eps) (neg.f64 eps))
accuracy0.0546875
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
accuracy0.32421875
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy3.751861934609251
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
accuracy25.41992241307959
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Samples
138.0ms149×0valid
69.0ms92×1valid
15.0ms15×2valid
Compiler

Compiled 775 to 72 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 41.0ms (33.4% of total)
ival-add: 40.0ms (32.6% of total)
ival-div: 11.0ms (9% of total)
ival-pow: 9.0ms (7.3% of total)
ival-sub: 7.0ms (5.7% of total)
adjust: 7.0ms (5.7% of total)
ival-neg: 4.0ms (3.3% of total)
ival-sqrt: 3.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series100.0ms (1%)

Memory
-18.5MiB live, 102.1MiB allocated
Counts
25 → 262
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 x x)
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
(neg.f64 eps)
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps)
Outputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
eps
(+ eps (* -1 (pow x 2)))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (/ 1 (* eps (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt (pow eps 3)) (sqrt -1))
(- (* eps x) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(- (* x (- (* 1/2 (* (sqrt eps) (/ x (sqrt -1)))) (* -1 eps))) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(- (* x (- (* x (- (* -1/8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) (* -1 eps))) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(* (sqrt eps) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ x (* (sqrt eps) (sqrt -1))))
(* (pow x 2) (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))))
(* (pow x 2) (+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))))
(* -1/8 (* eps x))
(* x (+ (* -1/2 (pow x 2)) (* -1/8 eps)))
(* -1 (pow x 4))
(* -1/2 (pow x 3))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(* eps (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt eps) (* x (sqrt -1)))) (* eps (pow (sqrt -1) 2)))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 x) (* 2 (* (sqrt eps) (sqrt -1))))))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* x (+ 2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1))))))))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* -1 (* eps x)) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (* x (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))))
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (* x (+ x (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1))))))))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(* -1/2 (/ eps x))
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ eps (pow x 2)) 1))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) (* -1/4 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/32 (/ (pow eps 3) (pow x 4))) (* 1/2 eps))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (* 1/8 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4)))))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/32 (/ (pow eps 3) (pow x 4))) (+ (* -1/64 (/ (pow eps 4) (pow x 6))) (* 1/2 eps)))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/32 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2))))) (* 1/8 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (pow x 6))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/8 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 6))))))))) x)
(* 2 (* eps x))
(* x (- (* -1/2 (/ (pow eps 2) (pow x 2))) (* -2 eps)))
(* x (- (* -1/8 (/ (pow eps 3) (pow x 4))) (+ (* -2 eps) (* 1/2 (/ (pow eps 2) (pow x 2))))))
(* x (- (* -1/16 (/ (pow eps 4) (pow x 6))) (+ (* -2 eps) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* (pow x 3) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 3) (- (* -1/8 (/ eps (pow x 2))) 1/2))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (* -1/2 (/ eps (pow x 2))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 4))))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 4))))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(* 2 x)
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) (+ 2 (* -1 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1/2 (/ eps (pow x 2))) (* -1/4 (/ (pow eps 2) (pow x 4)))) (+ 2 (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 4)))) (+ (* -1 (/ eps (pow x 2))) (* 1/2 (/ (* eps (- (* -1/2 eps) (* -1 eps))) (pow x 4)))))))))
(* -1 (* x (- (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6)))) (+ (* -1/2 (/ eps (pow x 2))) (* -1/4 (/ (pow eps 2) (pow x 4))))) (+ 2 (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 4)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 2) (pow x 6)))) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/2 (/ (* eps (- (* -1/4 (pow eps 2)) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (* 1/2 (* eps (- (* -1/2 eps) (* -1 eps))))))) (pow x 6))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- (* -1/2 eps) (* -1 eps))) (* (pow eps 2) (pow x 6)))))))))))))
(* 1/2 (/ (pow eps 2) x))
(* -1 (/ (- (* -1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2))) x))
(* -1 (/ (- (* -1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2)))) x))
(* -1 (/ (- (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2))))) x))
(* 1/2 (* eps x))
(* -1 (* x (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))))))
(* -1 (* (pow x 3) (+ 1/2 (* 1/8 (/ eps (pow x 2))))))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(- eps (pow x 2))
(* eps (- (* -1/2 (/ eps x)) (* -2 x)))
(* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* -2 x)))
(* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* -2 x)))
(+ (* -1/2 (* eps x)) (* 2 (pow x 3)))
(+ (* 2 (pow x 3)) (* eps (+ (* -1/2 x) (* -1/8 (/ eps x)))))
(+ (* 2 (pow x 3)) (* eps (+ (* -1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))))
(+ (* -1/2 (pow x 3)) (* -1/8 (* eps x)))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -2 eps) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (- (* -1/4 (/ eps (pow x 2))) 2)))
(+ (* 4 (pow x 2)) (* eps (- (* eps (- (* -1/8 (/ eps (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) 2)))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (* -1/2 x))))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (+ (* -1/2 x) (* 3/8 (/ eps x))))))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (+ (* -1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x))))))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ 1 (* -1 (/ (pow x 2) eps))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))) (* 2 (/ x (pow (sqrt -1) 2))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
(- (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (* x (- (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))) (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
(* (pow eps 2) (- (/ x eps) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* (pow eps 2) (- (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1))))))))
(* eps (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps)))))
(* eps (+ (* -1/2 (/ (pow x 3) eps)) (* -1/8 x)))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ (pow (sqrt -1) 2) eps)))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow (sqrt -1) 2) eps))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2)))))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2))))))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (- (/ (pow x 2) eps) 1)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* eps x) (* 2 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* eps x) (* 2 (* eps x))))) (+ (* -1 (* eps (pow x 3))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x)))))))))))))))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
(* (pow eps 2) (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* -1 (* (sqrt eps) (* (pow x 2) (sqrt -1))))
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) eps)) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* 1/8 x) (* 1/2 (/ (pow x 3) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3))) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
Calls

6 calls:

TimeVariablePointExpression
28.0ms
eps
@inf
((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (+ (* x x) (neg (- (* x x) eps))) (neg (- (* x x) eps)) (/ (+ (* x x) (neg (- (* x x) eps))) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x))) (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x) (* (pow (neg x) 3) 1/2) (- x (sqrt (- (* x x) eps))) (/ eps (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (* (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) eps))
23.0ms
x
@-inf
((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (+ (* x x) (neg (- (* x x) eps))) (neg (- (* x x) eps)) (/ (+ (* x x) (neg (- (* x x) eps))) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x))) (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x) (* (pow (neg x) 3) 1/2) (- x (sqrt (- (* x x) eps))) (/ eps (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (* (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) eps))
19.0ms
x
@0
((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (+ (* x x) (neg (- (* x x) eps))) (neg (- (* x x) eps)) (/ (+ (* x x) (neg (- (* x x) eps))) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x))) (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x) (* (pow (neg x) 3) 1/2) (- x (sqrt (- (* x x) eps))) (/ eps (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (* (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) eps))
9.0ms
x
@inf
((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (+ (* x x) (neg (- (* x x) eps))) (neg (- (* x x) eps)) (/ (+ (* x x) (neg (- (* x x) eps))) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x))) (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x) (* (pow (neg x) 3) 1/2) (- x (sqrt (- (* x x) eps))) (/ eps (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (* (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) eps))
8.0ms
eps
@-inf
((+ (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ eps (sqrt (- (* x x) eps)))) (- x (/ (* x x) (sqrt (- (* x x) eps)))) (/ (* x x) (sqrt (- (* x x) eps))) (* x x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (neg eps) (+ (* x x) (neg (- (* x x) eps))) (neg (- (* x x) eps)) (/ (+ (* x x) (neg (- (* x x) eps))) (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps) (/ (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x))) (- (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (* (* x x) (+ (sqrt (- (* x x) eps)) x)) (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x) (* (pow (neg x) 3) 1/2) (- x (sqrt (- (* x x) eps))) (/ eps (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (* (+ (sqrt (- (* x x) eps)) x) (+ (sqrt (- (* x x) eps)) x)) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (* (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) eps))

simplify258.0ms (2.5%)

Memory
4.5MiB live, 275.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013418046
145297705
089747310
Stop Event
iter limit
node limit
Counts
262 → 260
Calls
Call 1
Inputs
(* (sqrt eps) (sqrt -1))
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1 eps)
(- (pow x 2) eps)
eps
(+ eps (* -1 (pow x 2)))
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (/ 1 (* eps (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* (sqrt (pow eps 3)) (sqrt -1))
(- (* eps x) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(- (* x (- (* 1/2 (* (sqrt eps) (/ x (sqrt -1)))) (* -1 eps))) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(- (* x (- (* x (- (* -1/8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))))) (* -1 eps))) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(* (sqrt eps) (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ x (* (sqrt eps) (sqrt -1))))
(* (pow x 2) (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))))
(* (pow x 2) (+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))))
(* -1/8 (* eps x))
(* x (+ (* -1/2 (pow x 2)) (* -1/8 eps)))
(* -1 (pow x 4))
(* -1/2 (pow x 3))
(+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))))))))
(* eps (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt eps) (* x (sqrt -1)))) (* eps (pow (sqrt -1) 2)))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 x) (* 2 (* (sqrt eps) (sqrt -1))))))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* x (+ 2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1))))))))
(* -1 (* (sqrt (pow eps 3)) (sqrt -1)))
(+ (* -1 (* eps x)) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (* x (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))))
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* x (+ (* -1 eps) (* x (+ x (+ (* -1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1))))))))
(* 1/8 (/ eps (pow x 3)))
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3))
(* 1/8 (/ (pow eps 2) (pow x 3)))
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3))
(/ (- eps (* 1/2 eps)) x)
(/ (- (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(/ (- (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (* 1/2 eps))))) x)
(* -1/2 (/ eps x))
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps)) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (* 1/2 eps))) x)
(/ (- (* 1/2 (/ (+ (* -1 (pow eps 4)) (+ (* -1/2 (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (* 1/4 (pow (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) 2)))) (pow x 6))) (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/2 eps)))) x)
(* x (+ 1 (* 1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))
(* 1/2 (/ eps x))
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ eps (pow x 2)) 1))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) (* -1/4 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/32 (/ (pow eps 3) (pow x 4))) (* 1/2 eps))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (* 1/8 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4)))))) x)
(/ (- (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/32 (/ (pow eps 3) (pow x 4))) (+ (* -1/64 (/ (pow eps 4) (pow x 6))) (* 1/2 eps)))) (+ (* -1/2 (/ (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (- (* -1/32 (pow eps 3)) (+ (* -1/2 (* eps (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2))))) (* 1/8 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))) (pow x 6))) (+ (* -1/4 (/ (pow eps 2) (pow x 2))) (+ (* 1/8 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* 1/8 (/ (* eps (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))) (* 1/4 (/ (* (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (- (* -1/8 (pow eps 2)) (* -1/4 (pow eps 2)))) (pow x 6))))))))) x)
(* 2 (* eps x))
(* x (- (* -1/2 (/ (pow eps 2) (pow x 2))) (* -2 eps)))
(* x (- (* -1/8 (/ (pow eps 3) (pow x 4))) (+ (* -2 eps) (* 1/2 (/ (pow eps 2) (pow x 2))))))
(* x (- (* -1/16 (/ (pow eps 4) (pow x 6))) (+ (* -2 eps) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* (pow x 3) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* (pow x 3) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 3) (- (* -1/8 (/ eps (pow x 2))) 1/2))
(/ eps x)
(/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (* -1/2 (/ eps (pow x 2))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 4))))))))
(* (pow x 3) (+ 2 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (+ (* -1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 4))))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x)
(* 2 x)
(* -1 (* x (- (/ eps (pow x 2)) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 1/2 (/ (pow eps 2) (pow x 4))) (/ eps (pow x 2)))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ 2 (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 6))) (* 1/2 (/ eps (pow x 2))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* -1/2 (/ eps (pow x 2))) (+ 2 (* -1 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* -1/2 (/ eps (pow x 2))) (* -1/4 (/ (pow eps 2) (pow x 4)))) (+ 2 (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 4)))) (+ (* -1 (/ eps (pow x 2))) (* 1/2 (/ (* eps (- (* -1/2 eps) (* -1 eps))) (pow x 4)))))))))
(* -1 (* x (- (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* eps (pow x 6)))) (+ (* -1/2 (/ eps (pow x 2))) (* -1/4 (/ (pow eps 2) (pow x 4))))) (+ 2 (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (* (pow eps 2) (pow x 4)))) (+ (* -8 (/ (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 2) (pow x 6)))) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/2 (/ (* eps (- (* -1/4 (pow eps 2)) (+ (* -8 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (* 1/2 (* eps (- (* -1/2 eps) (* -1 eps))))))) (pow x 6))) (* 4 (/ (* (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (- (* -1/2 eps) (* -1 eps))) (* (pow eps 2) (pow x 6)))))))))))))
(* 1/2 (/ (pow eps 2) x))
(* -1 (/ (- (* -1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2))) x))
(* -1 (/ (- (* -1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2)))) x))
(* -1 (/ (- (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/2 (pow eps 2))))) x))
(* 1/2 (* eps x))
(* -1 (* x (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))))))
(* -1 (* (pow x 3) (+ 1/2 (* 1/8 (/ eps (pow x 2))))))
(* -1 (/ eps x))
(* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (+ eps (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* -1 (pow eps 3)) (* -1/2 (* eps (+ (* -1 (pow eps 2)) (* 1/4 (pow eps 2))))))) (pow x 6))) (* 1/2 (/ (pow eps 2) (pow x 2)))))) x))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))
(* -1 (* x (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 4))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))))))
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* -3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* -5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (- (* eps (- (* eps (- (* -35/128 (/ eps (pow x 7))) (* 5/16 (/ 1 (pow x 5))))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* 1/2 (/ eps x)))
(+ x (* eps (+ (* 3/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 5))) (* 3/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -1 eps) (pow x 2))
(- eps (pow x 2))
(* eps (- (* -1/2 (/ eps x)) (* -2 x)))
(* eps (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) (* -2 x)))
(* eps (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) (* -2 x)))
(+ (* -1/2 (* eps x)) (* 2 (pow x 3)))
(+ (* 2 (pow x 3)) (* eps (+ (* -1/2 x) (* -1/8 (/ eps x)))))
(+ (* 2 (pow x 3)) (* eps (+ (* -1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))))))
(+ (* -1/2 (pow x 3)) (* -1/8 (* eps x)))
(* eps (+ (* 1/2 (/ eps (pow x 3))) (/ 1 x)))
(* eps (+ (* eps (+ (* 3/8 (/ eps (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(* eps (+ (* eps (+ (* eps (+ (* 5/16 (/ eps (pow x 7))) (* 3/8 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)))
(+ (* -2 eps) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (- (* -1/4 (/ eps (pow x 2))) 2)))
(+ (* 4 (pow x 2)) (* eps (- (* eps (- (* -1/8 (/ eps (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) 2)))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (* -1/2 x))))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (+ (* -1/2 x) (* 3/8 (/ eps x))))))
(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (+ (* -1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x))))))))
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (* (pow x 2) (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ 1 (* -1 (/ (pow x 2) eps))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))) (* 2 (/ x (pow (sqrt -1) 2))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
(- (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (* x (- (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))) (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
(* (pow eps 2) (- (/ x eps) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* (pow eps 2) (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps)))))
(* (pow eps 2) (- (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1))))))))
(* eps (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))) (/ (pow x 3) eps)))))
(* eps (+ (* -1/2 (/ (pow x 3) eps)) (* -1/8 x)))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (+ (* 1/4 (/ (* eps (pow x 4)) (pow (sqrt -1) 2))) (pow x 6)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ (pow (sqrt -1) 2) eps)))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow (sqrt -1) 2) eps))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2)))))))
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ x eps)) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))) (/ (pow x 3) (pow eps 2))))))))
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (- (+ x (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 6) (sqrt -1))))) eps))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1))))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(- (+ x (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(- (+ x (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1))))) (pow eps 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 6) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 4) (sqrt -1)))) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (- (/ (pow x 2) eps) 1)))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* eps x) (* 2 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* eps x) (* 2 (* eps x))))) (+ (* -1 (* eps (pow x 3))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x)))))))))))))))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
(* (pow eps 2) (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* -1 (* (sqrt eps) (* (pow x 2) (sqrt -1))))
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) eps)) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(* -1 (* eps (+ (* 1/8 x) (* 1/2 (/ (pow x 3) eps)))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3))) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
Outputs
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* x (- (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* x (+ 1 (* x (- (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (- (* -1/2 (* (sqrt (pow eps 3)) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
x
(* x (+ 1 (* -1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) x)
(* x (+ 1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (- (* 1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) x #s(literal 1 binary64)) x)
(* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3)))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 eps) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))
(* (pow x 2) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt eps) (/ (* (pow x 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (* eps (pow (sqrt -1) 2)))) (/ 1 (pow eps 4)))) (sqrt -1)))) (* -1/2 (* (sqrt eps) (/ (+ (* 1/4 (/ 1 (* (pow eps 3) (pow (sqrt -1) 2)))) (/ 1 (pow eps 3))) (sqrt -1))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) eps) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
eps
(+ eps (* -1 (pow x 2)))
(-.f64 eps (*.f64 x x))
(* (sqrt eps) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64)) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (/ 1 (* eps (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 eps)) (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* -2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))))) x #s(literal 0 binary64))) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (pow eps 3)) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(- (* eps x) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(fma.f64 eps x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(- (* x (- (* 1/2 (* (sqrt eps) (/ x (sqrt -1)))) (* -1 eps))) (* -1 (* (sqrt (pow eps 3)) (sqrt -1))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) eps) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))
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(+ (* 2 (pow x 3)) (* eps (+ (* -2 x) (* -1/2 x))))
(fma.f64 (*.f64 x #s(literal -5/2 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
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(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))
(* eps (- (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))
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(- x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))
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(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps)
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
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(* eps (- (/ (pow x 2) eps) 1))
(*.f64 (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* -1 (/ (pow x 2) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) eps)) eps)
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) eps) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 x #s(literal -1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
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(- (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))) (* 2 (/ x (pow (sqrt -1) 2))))
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(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
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(- (+ (* -1 (/ (+ (* 2 (* (sqrt eps) (/ (* x (- (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt eps) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))))) (sqrt -1)))) (+ (* 2 (/ (* eps (* (pow x 2) (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))) (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))))) (+ (* 2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (/ (* eps x) (pow (sqrt -1) 2)) (* 2 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 2 (/ x (pow (sqrt -1) 2))))))
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(* (pow eps 2) (- (/ x eps) (* -1 (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) eps)))
(* -1 (* eps (- (/ (pow x 2) eps) 1)))
(fma.f64 (/.f64 (*.f64 x x) eps) (neg.f64 eps) eps)
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 x) eps)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))) eps) (*.f64 eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* eps x) (* 2 (* eps x))) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 eps x (*.f64 #s(literal -2 binary64) (*.f64 eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
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(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (pow x 2) (- (* eps x) (* 2 (* eps x))))) (+ (* -1 (* eps (pow x 3))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x)))))))))))))))) (+ (* -2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 2 (* (sqrt eps) (* x (* (sqrt -1) (- (* eps x) (* 2 (* eps x))))))))) eps)) (* eps x)) (* 2 (* eps x))) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 eps x (*.f64 #s(literal -2 binary64) (*.f64 eps x))) (fma.f64 (neg.f64 eps) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 eps x (*.f64 #s(literal -2 binary64) (*.f64 eps x)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (fma.f64 eps x (*.f64 #s(literal -2 binary64) (*.f64 eps x))))))) eps) #s(literal -1 binary64) (fma.f64 eps x (*.f64 #s(literal -2 binary64) (*.f64 eps x)))) eps)))
(* (pow eps 2) (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 x))) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps))
(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps)) x) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))))) eps) x)) eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps))
(* -1 (* (sqrt eps) (* (pow x 2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) eps)))
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 6) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) eps)) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) eps)) eps)))
(* -1 (* eps (+ (* 1/8 x) (* 1/2 (/ (pow x 3) eps)))))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))))
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1))))))))
(*.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ (* -1/4 (* eps (pow x 4))) (pow x 6)))))) (pow eps 3))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))))
(*.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 eps #s(literal 3 binary64)))))))
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 eps eps))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -2 binary64)))) eps) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) eps))) eps) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ x (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) x) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3)) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps)) x)) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (pow x 3))) eps)) (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps)) x)) eps)) (*.f64 eps eps))

rewrite390.0ms (3.8%)

Memory
-6.5MiB live, 350.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038333
067322
1271282
22425258
09701255
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 198
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 x x)
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))
#s(approx (- (* x x) eps) (neg.f64 eps))
(neg.f64 eps)
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
(/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps)
Outputs
(*.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) eps))) (pow.f64 (+.f64 x (/.f64 (-.f64 (*.f64 (neg.f64 x) x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (neg.f64 x) x eps)))
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps))) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(*.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 (neg.f64 x) x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps x) #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps x) (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps x) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps x) (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 x (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) x eps) (-.f64 (fma.f64 (neg.f64 x) x eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) eps)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) eps))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 (-.f64 (*.f64 (neg.f64 x) x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) (pow.f64 (fma.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps) (-.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 eps) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))))
(/.f64 (neg.f64 (fma.f64 eps (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (fma.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x x))))
(/.f64 (neg.f64 (fma.f64 eps (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x eps)))))))
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(*.f64 (/.f64 eps (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))) (/.f64 eps (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)) (/.f64 eps (*.f64 x x)))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)))
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) eps)
(*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (/.f64 eps (/.f64 x (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 eps (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) (/.f64 eps (*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 eps (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 eps (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 eps x))
(*.f64 (/.f64 eps x) (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 eps (pow.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) eps))
(*.f64 eps (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) eps)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 eps (neg.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 eps #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) eps) x)
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) eps) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (*.f64 eps (neg.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(/.f64 (neg.f64 eps) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 eps (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x eps) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))

eval994.0ms (9.7%)

Memory
46.1MiB live, 630.9MiB allocated
Compiler

Compiled 123 513 to 8 658 computations (93% saved)

prune885.0ms (8.6%)

Memory
-24.5MiB live, 136.9MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New2 58152 586
Fresh13316
Picked415
Done044
Total2 598132 611
Accuracy
100.0%
Counts
2 611 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
59.9%
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
39.8%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
99.5%
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
59.8%
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
60.2%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
60.0%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
54.2%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
7.8%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
3.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
46.5%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
46.3%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
44.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
Compiler

Compiled 453 to 240 computations (47% saved)

simplify908.0ms (8.8%)

Memory
-17.4MiB live, 118.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
cost-diff1664
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
cost-diff1664
(*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
cost-diff9152
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x x eps)
cost-diff0
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff896
(-.f64 (fma.f64 x x eps) (*.f64 x x))
cost-diff0
(/.f64 eps x)
cost-diff0
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
cost-diff0
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
cost-diff0
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
cost-diff192
(+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)
cost-diff832
(-.f64 (*.f64 x x) (*.f64 x x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035405
060373
1113315
2266277
31276277
44433277
08504277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)
(-.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
eps
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
eps
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
x
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(/.f64 eps x)
eps
#s(literal -1/2 binary64)
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (fma.f64 x x eps) (*.f64 x x))
(fma.f64 x x eps)
x
eps
(*.f64 x x)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)
eps
(-.f64 (*.f64 x x) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
eps
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
eps
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)))
x
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)
(/.f64 eps x)
eps
#s(literal -1/2 binary64)
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 (fma.f64 x x eps) (*.f64 x x))
eps
(fma.f64 x x eps)
x
eps
(*.f64 x x)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) eps) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) eps)
(*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x))
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
(*.f64 x x)
x
eps
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) (-.f64 (*.f64 x x) eps))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64))
#s(literal 4 binary64)

localize551.0ms (5.4%)

Memory
5.1MiB live, 248.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25964053192336267
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
accuracy0.33203125
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))
accuracy0.3722039551372825
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64))
accuracy12.709072075073399
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
accuracy0.01171875
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy0.015625
(-.f64 (*.f64 x x) eps)
accuracy0.3125
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
accuracy0.5658399300589043
(-.f64 (fma.f64 x x eps) (*.f64 x x))
accuracy0.0
(/.f64 eps x)
accuracy0.00390625
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
accuracy0.6112134308972478
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
accuracy33.527290932920515
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.16015625
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
accuracy34.09472352421041
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
accuracy0.0078125
(sqrt.f64 (-.f64 (*.f64 x x) eps))
accuracy0.01171875
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
accuracy0.015625
(-.f64 (*.f64 x x) eps)
accuracy0.3125
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
Samples
471.0ms107×1exit
53.0ms149×0valid
Compiler

Compiled 796 to 67 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 504.0ms
ival-mult: 447.0ms (88.7% of total)
ival-add: 21.0ms (4.2% of total)
ival-div: 15.0ms (3% of total)
adjust: 7.0ms (1.4% of total)
ival-sub: 6.0ms (1.2% of total)
ival-pow: 3.0ms (0.6% of total)
ival-pow2: 3.0ms (0.6% of total)
ival-sqrt: 2.0ms (0.4% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series69.0ms (0.7%)

Memory
-8.5MiB live, 149.1MiB allocated
Counts
23 → 218
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(/.f64 eps x)
(-.f64 (fma.f64 x x eps) (*.f64 x x))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x eps)
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
(-.f64 (*.f64 x x) eps)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))
Outputs
0
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* 1/2 (/ eps x))
(/ 1/2 x)
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(+ eps (pow x 2))
(* (sqrt (pow eps 5)) (pow (sqrt -1) 3))
(- (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(- (* x (- (* eps (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(- (* x (- (* x (- (* 4 (* eps x)) (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(* (sqrt (pow eps 3)) (* (pow x 2) (pow (sqrt -1) 3)))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (+ (* 4 x) (* 4 (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3)))
(+ (* -1 (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3)))))))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (+ (* x (+ (* -4 eps) (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (* 12 (/ 1 (* eps (pow (sqrt -1) 4)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (* (sqrt eps) (sqrt -1))) (* 8 (* (sqrt eps) (sqrt -1)))) (pow (sqrt -1) 5)))))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 eps)
(- (pow x 2) eps)
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (pow eps 2) (pow (sqrt -1) 4))
(+ (* 4 (* (sqrt (pow eps 3)) (* x (pow (sqrt -1) 3)))) (* (pow eps 2) (pow (sqrt -1) 4)))
(+ (* x (+ (* 4 (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (* 8 (* eps (* x (pow (sqrt -1) 2)))))) (* (pow eps 2) (pow (sqrt -1) 4)))
(+ (* x (+ (* 4 (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (* x (+ (* 8 (* eps (pow (sqrt -1) 2))) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* 8 (* (sqrt eps) (sqrt -1))))))))) (* (pow eps 2) (pow (sqrt -1) 4)))
(* eps (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt eps) (* x (sqrt -1)))) (* eps (pow (sqrt -1) 2)))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 x) (* 2 (* (sqrt eps) (sqrt -1))))))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* x (+ 2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1))))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* 8 (* eps (pow x 3)))
(* (pow x 3) (- (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2)) (* -8 eps)))
(* (pow x 3) (- (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4)) (+ (* -8 eps) (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))))))
(* (pow x 3) (- (/ (* eps (+ (* -1/2 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* -1/4 (pow eps 3)) (+ (* 1/4 (pow eps 3)) (* 2 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))))) (pow x 6)) (+ (* -8 eps) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (* -1 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4)))))))
(* 8 (pow x 5))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2))))))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4))))))))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2)))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 4))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 4))) (+ (* -1 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4)))))))))))))))
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (* 1/2 eps)) (* -1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4))) (* 1/2 eps))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/32 (/ (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4)))))) x)
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* -1/4 (pow eps 3)) (+ (* 1/4 (pow eps 3)) (* 2 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))))) (pow x 6))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4))) (* 1/2 eps)))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2))))) (+ (* -1 (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2))))) (* 1/32 (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -4 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 8 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))) (pow x 6))) (+ (* 1/32 (/ (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/16 (/ (* (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 6))))))))) x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 16 (pow x 4))
(* (pow x 4) (+ 16 (* -16 (/ eps (pow x 2)))))
(* (pow x 4) (+ 16 (+ (* -16 (/ eps (pow x 2))) (+ (* 4 (/ (pow eps 2) (pow x 4))) (* 8 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* (pow x 4) (+ 16 (+ (* -16 (/ eps (pow x 2))) (+ (* -4 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 4 (/ (pow eps 2) (pow x 4))) (+ (* 8 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 8 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6)))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* 1/8 (/ (pow eps 4) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2)) (* 1/8 (pow eps 4))) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 4)) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2))) (* 1/8 (pow eps 4)))) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/4 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/128 (pow eps 6))))) (pow x 6)) (+ (* -1 (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 4))) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2))) (* 1/8 (pow eps 4))))) (pow x 3)))
(* 1/8 (/ (pow eps 3) x))
(* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 4) (pow x 2))))) x))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 5) (pow x 4))))))) x))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* -1/128 (/ (pow eps 6) (pow x 6)))))))))) x))
(* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* 1/8 (/ (pow eps 4) (pow x 2)))))) x))
(* -1 (/ (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* 1/8 (/ (pow eps 4) (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 6))) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (+ (* -1/128 (/ (pow eps 6) (pow x 6))) (* 1/8 (/ (pow eps 4) (pow x 2))))))))))))) x))
(* -1 (* x (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2)))) (+ 2 (* -2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (* (pow eps 3) (pow x 4)))) (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2))))) (+ 2 (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 4) (pow x 4)))) (+ (* -2 (/ eps (pow x 2))) (/ (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (pow x 4))))))))
(* -1 (* x (- (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (* (pow eps 3) (pow x 4)))) (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/4 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/128 (pow eps 6)))) (* (pow eps 3) (pow x 6)))) (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2)))))) (+ 2 (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 4) (pow x 4)))) (+ (* -32 (/ (+ (* 1/4 (* (pow eps 3) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))) (* (pow eps 4) (pow x 6)))) (+ (* -2 (/ eps (pow x 2))) (+ (* 16 (/ (* (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (* (pow eps 4) (pow x 6)))) (+ (/ (* eps (- (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (pow eps 3))) (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))) (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps)))))) (pow x 6)) (/ (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (pow x 4)))))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* 1/16 (/ (pow eps 4) (pow x 4)))
(/ (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (* 1/16 (pow eps 4))) (pow x 4))
(/ (+ (* 1/64 (/ (pow eps 6) (pow x 4))) (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (+ (* 1/16 (pow eps 4)) (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4)))))) (pow x 4))
(/ (+ (* 1/64 (/ (pow eps 6) (pow x 4))) (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (+ (* 1/16 (pow eps 4)) (+ (* 1/4 (/ (* (pow eps 3) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6)))))))) (pow x 4))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (- (* eps (+ (* -4 x) (* -2 x))) (* -8 (pow x 3))))
(* eps (- (* eps (- (* -1/8 (/ (pow eps 2) (pow x 3))) (* -1 (+ (* -4 x) (* -2 x))))) (* -8 (pow x 3))))
(* eps (- (* eps (- (* (pow eps 2) (- (* -3/32 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* -1 (+ (* -4 x) (* -2 x))))) (* -8 (pow x 3))))
(+ (* 8 (pow x 5)) (* eps (* (pow x 2) (+ (* -4 x) (* -2 x)))))
(+ (* 8 (pow x 5)) (* eps (+ (* -1/8 (/ (pow eps 2) x)) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* (pow eps 2) (- (* -3/32 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (+ (* -1 (* eps (+ (* -4 x) (* -2 x)))) (* (pow x 2) (+ (* -4 x) (* -2 x)))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (+ (* eps (+ (* -1 (+ (* -4 x) (* -2 x))) (* -1/8 (/ eps x)))) (* (pow x 2) (+ (* -4 x) (* -2 x)))))))
(* eps (+ (* eps (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5)))))) (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (+ (* 1/2 (/ 1 (pow x 3))) (* eps (- (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))) (+ (* 9/128 (/ 1 (pow x 7))) (* 1/8 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))))))) (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5))))))))) (* 1/2 (/ 1 x))))
(+ (* -1 eps) (pow x 2))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -16 (* eps (pow x 2))) (* 16 (pow x 4)))
(+ (* 16 (pow x 4)) (* eps (+ (* -16 (pow x 2)) (* 2 eps))))
(+ (* 16 (pow x 4)) (* eps (+ (* -16 (pow x 2)) (* eps (+ 2 (* -1/16 (/ (pow eps 2) (pow x 4))))))))
(+ (* -2 eps) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (- (* -1/4 (/ eps (pow x 2))) 2)))
(+ (* 4 (pow x 2)) (* eps (- (* eps (- (* -1/8 (/ eps (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (+ 1 (/ (pow x 2) eps)))
(* (pow eps 4) (- (+ (* 2 (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3)))))
(* (pow eps 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)))))
(* (pow eps 4) (- (* 4 (/ (pow x 3) (pow eps 3))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps))))))
(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))
(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps))))
(* (pow eps 3) (+ (* 4 (/ (pow x 5) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))))
(* (pow eps 4) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))))))
(* (pow eps 4) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (+ (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) (pow eps 2)))))))
(* (pow eps 4) (+ (* -4 (/ (pow x 3) (pow eps 3))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (+ (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 3)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) (pow eps 2)))))))))
(- (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))) (* 4 (/ x (pow (sqrt -1) 2))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* 4 (/ x (pow (sqrt -1) 2))) (* 8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 4 (/ (pow x 3) (* eps (pow (sqrt -1) 4)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))))))) (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* x (- (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 4 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (+ (* 4 (* (sqrt eps) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 8 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))))) (sqrt -1)))) (+ (* 4 (/ x (pow (sqrt -1) 2))) (+ (* 8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 8 (/ (* (pow x 2) (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (* (pow eps 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1))))) (pow (sqrt -1) 5)))))))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* (pow eps 4) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (/ (pow (sqrt -1) 4) (pow eps 2))))
(* (pow eps 4) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (+ (* 8 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow eps 3))) (/ (pow (sqrt -1) 4) (pow eps 2)))))
(* (pow eps 4) (+ (* 2 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 3) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (+ (* 8 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 3) (sqrt -1)))) (+ (* 8 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow eps 3))) (/ (pow (sqrt -1) 4) (pow eps 2)))))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ (pow (sqrt -1) 2) eps)))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow (sqrt -1) 2) eps))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(* -1 (* (sqrt (pow eps 5)) (sqrt -1)))
(* (pow eps 4) (- (+ (* -2 (/ x (pow eps 2))) (* -1 (/ x (pow eps 2)))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (- (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 3) eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow x 5) eps)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* (sqrt (pow eps 5)) (sqrt -1))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow x 3)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* -1 (/ (- (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))))))))) eps))) (* 4 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* -1 (/ (- (* -4 (* (pow eps 2) (pow x 3))) (+ (* -8 (* eps (* (pow x 2) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x)))))) (+ (* -1 (* (sqrt (pow eps 5)) (* (sqrt -1) (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))))))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x)))))))))))))))) eps))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))))))))) eps))) (* 4 (* eps x))) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(pow eps 2)
(* (pow eps 4) (+ (* -4 (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1)))) (/ 1 (pow eps 2))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (* 8 (/ (pow x 2) (pow eps 2)))) eps)) (/ 1 (pow eps 2))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow x 2) eps)) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1))))) eps))) eps)) (* 4 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1))))) eps)) (/ 1 (pow eps 2))))
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
eps
@-inf
((- (* x x) (* x x)) (+ (- (* x x) (* x x)) eps) (/ (+ (- (* x x) (* x x)) eps) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (/ (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (pow (+ (sqrt (- (* x x) eps)) x) 4)) (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (pow (+ (sqrt (- (* x x) eps)) x) 4) (pow (+ (sqrt (- (* x x) eps)) x) 2))
14.0ms
x
@-inf
((- (* x x) (* x x)) (+ (- (* x x) (* x x)) eps) (/ (+ (- (* x x) (* x x)) eps) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (/ (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (pow (+ (sqrt (- (* x x) eps)) x) 4)) (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (pow (+ (sqrt (- (* x x) eps)) x) 4) (pow (+ (sqrt (- (* x x) eps)) x) 2))
9.0ms
x
@inf
((- (* x x) (* x x)) (+ (- (* x x) (* x x)) eps) (/ (+ (- (* x x) (* x x)) eps) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (/ (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (pow (+ (sqrt (- (* x x) eps)) x) 4)) (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (pow (+ (sqrt (- (* x x) eps)) x) 4) (pow (+ (sqrt (- (* x x) eps)) x) 2))
8.0ms
eps
@inf
((- (* x x) (* x x)) (+ (- (* x x) (* x x)) eps) (/ (+ (- (* x x) (* x x)) eps) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (/ (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (pow (+ (sqrt (- (* x x) eps)) x) 4)) (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (pow (+ (sqrt (- (* x x) eps)) x) 4) (pow (+ (sqrt (- (* x x) eps)) x) 2))
5.0ms
x
@0
((- (* x x) (* x x)) (+ (- (* x x) (* x x)) eps) (/ (+ (- (* x x) (* x x)) eps) (+ (sqrt (- (* x x) eps)) x)) (* x x) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) (- (+ (* x x) eps) (* x x)) (/ (- (+ (* x x) eps) (* x x)) (+ (sqrt (- (* x x) eps)) x)) (+ (* x x) eps) (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (/ (- (* (* (+ (sqrt (- (* x x) eps)) x) (* x x)) (pow (+ (sqrt (- (* x x) eps)) x) 2)) (* (pow (+ (sqrt (- (* x x) eps)) x) 2) (* (+ (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (pow (+ (sqrt (- (* x x) eps)) x) 4)) (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (pow (+ (sqrt (- (* x x) eps)) x) 4) (pow (+ (sqrt (- (* x x) eps)) x) 2))

simplify231.0ms (2.3%)

Memory
28.1MiB live, 258.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014027904
147527529
094387125
Stop Event
iter limit
node limit
Counts
218 → 216
Calls
Call 1
Inputs
0
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(pow x 2)
(* -1 (* (sqrt eps) (sqrt -1)))
(- x (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* 1/2 (/ eps x))
(/ 1/2 x)
(* (sqrt eps) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/ eps x)
(+ eps (pow x 2))
(* (sqrt (pow eps 5)) (pow (sqrt -1) 3))
(- (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(- (* x (- (* eps (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(- (* x (- (* x (- (* 4 (* eps x)) (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(* (sqrt (pow eps 3)) (* (pow x 2) (pow (sqrt -1) 3)))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (+ (* 4 x) (* 4 (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3)))
(+ (* -1 (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3)))))))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (+ (* x (+ (* -4 eps) (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (* 12 (/ 1 (* eps (pow (sqrt -1) 4)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (* (sqrt eps) (sqrt -1))) (* 8 (* (sqrt eps) (sqrt -1)))) (pow (sqrt -1) 5)))))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(* -1 eps)
(- (pow x 2) eps)
(+ x (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(* (pow eps 2) (pow (sqrt -1) 4))
(+ (* 4 (* (sqrt (pow eps 3)) (* x (pow (sqrt -1) 3)))) (* (pow eps 2) (pow (sqrt -1) 4)))
(+ (* x (+ (* 4 (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (* 8 (* eps (* x (pow (sqrt -1) 2)))))) (* (pow eps 2) (pow (sqrt -1) 4)))
(+ (* x (+ (* 4 (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))) (* x (+ (* 8 (* eps (pow (sqrt -1) 2))) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* 8 (* (sqrt eps) (sqrt -1))))))))) (* (pow eps 2) (pow (sqrt -1) 4)))
(* eps (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt eps) (* x (sqrt -1)))) (* eps (pow (sqrt -1) 2)))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 x) (* 2 (* (sqrt eps) (sqrt -1))))))
(+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 2 (* (sqrt eps) (sqrt -1))) (* x (+ 2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1))))))))
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x)
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x)
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)
x
(* x (+ 1 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* (pow x 2) (+ 1 (/ eps (pow x 2))))
(* 8 (* eps (pow x 3)))
(* (pow x 3) (- (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2)) (* -8 eps)))
(* (pow x 3) (- (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4)) (+ (* -8 eps) (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))))))
(* (pow x 3) (- (/ (* eps (+ (* -1/2 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* -1/4 (pow eps 3)) (+ (* 1/4 (pow eps 3)) (* 2 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))))) (pow x 6)) (+ (* -8 eps) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (* -1 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4)))))))
(* 8 (pow x 5))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2))))))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))
(* (pow x 5) (+ 8 (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4))))))))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (* -2 (/ eps (pow x 2)))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 4))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (/ (pow eps 2) (pow x 4))))))))))
(* (pow x 5) (+ 8 (+ (* -8 (/ eps (pow x 2))) (+ (* -4 (/ eps (pow x 2))) (+ (* -2 (/ eps (pow x 2))) (+ (* -1 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 4))) (+ (* -1 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/4 (/ (pow eps 3) (pow x 6))) (+ (* 2 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (+ (* 2 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6))) (/ (pow eps 2) (pow x 4)))))))))))))))
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (* 1/2 eps)) (* -1/2 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4))) (* 1/2 eps))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/32 (/ (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4)))))) x)
(/ (- (+ (* 1/16 (/ (* eps (+ (* -4 eps) (* -2 eps))) (pow x 2))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (+ (* -1/4 (pow eps 3)) (+ (* 1/4 (pow eps 3)) (* 2 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))))) (pow x 6))) (+ (* 1/16 (/ (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2)))) (pow x 4))) (* 1/2 eps)))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 4))) (+ (* -1 (/ (* eps (- (* 1/16 (* eps (+ (* -1/2 (pow eps 2)) (+ (* 2 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow eps 2))))) (+ (* -1 (* eps (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2))))) (* 1/32 (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))))))) (pow x 6))) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/32 (/ (* eps (+ (* -4 (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (* 8 (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3)))))) (pow x 6))) (+ (* 1/32 (/ (* eps (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))))) (pow x 4))) (* 1/16 (/ (* (+ (* 4 (pow eps 2)) (* 8 (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))))) (- (* 1/16 (* eps (+ (* -4 eps) (* -2 eps)))) (* -1/2 (pow eps 2)))) (pow x 6))))))))) x)
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2)))))
(* 2 x)
(* x (+ 2 (* -1/2 (/ eps (pow x 2)))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))
(* 16 (pow x 4))
(* (pow x 4) (+ 16 (* -16 (/ eps (pow x 2)))))
(* (pow x 4) (+ 16 (+ (* -16 (/ eps (pow x 2))) (+ (* 4 (/ (pow eps 2) (pow x 4))) (* 8 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4)))))))
(* (pow x 4) (+ 16 (+ (* -16 (/ eps (pow x 2))) (+ (* -4 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 6))) (+ (* 4 (/ (pow eps 2) (pow x 4))) (+ (* 8 (/ (+ (* -1/2 (pow eps 2)) (* 1/4 (pow eps 2))) (pow x 4))) (* 8 (/ (+ (* -1/4 (pow eps 3)) (* 1/8 (pow eps 3))) (pow x 6)))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/4 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 3) (pow x 6))) (* 1/4 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4)))))))))
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2)))))))
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))))
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1)))
(* 1/8 (/ (pow eps 4) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2)) (* 1/8 (pow eps 4))) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 4)) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2))) (* 1/8 (pow eps 4)))) (pow x 3)))
(* -1 (/ (- (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/4 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/128 (pow eps 6))))) (pow x 6)) (+ (* -1 (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 4))) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 2))) (* 1/8 (pow eps 4))))) (pow x 3)))
(* 1/8 (/ (pow eps 3) x))
(* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 4) (pow x 2))))) x))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* -1/32 (/ (pow eps 5) (pow x 4))))))) x))
(* -1 (/ (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* -1/128 (/ (pow eps 6) (pow x 6)))))))))) x))
(* -1 (/ (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (* 1/8 (/ (pow eps 4) (pow x 2)))))) x))
(* -1 (/ (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (* 1/8 (/ (pow eps 4) (pow x 2))))))))) x))
(* -1 (/ (+ (* -1 (/ (* eps (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5)))) (pow x 6))) (+ (* -1 (/ (* eps (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (+ (* -1/2 (/ (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6))) (+ (* -1/4 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* -1/8 (pow eps 3)) (+ (* -1/16 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 4) (pow x 2))) (+ (* -1/32 (/ (pow eps 5) (pow x 4))) (+ (* -1/128 (/ (pow eps 6) (pow x 6))) (* 1/8 (/ (pow eps 4) (pow x 2))))))))))))) x))
(* -1 (* x (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2)))) (+ 2 (* -2 (/ eps (pow x 2)))))))
(* -1 (* x (- (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (* (pow eps 3) (pow x 4)))) (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2))))) (+ 2 (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 4) (pow x 4)))) (+ (* -2 (/ eps (pow x 2))) (/ (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (pow x 4))))))))
(* -1 (* x (- (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (* (pow eps 3) (pow x 4)))) (+ (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))))) (+ (* -1/4 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/128 (pow eps 6)))) (* (pow eps 3) (pow x 6)))) (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (* (pow eps 3) (pow x 2)))))) (+ 2 (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (* (pow eps 4) (pow x 4)))) (+ (* -32 (/ (+ (* 1/4 (* (pow eps 3) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))))) (* (pow eps 4) (pow x 6)))) (+ (* -2 (/ eps (pow x 2))) (+ (* 16 (/ (* (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (* (pow eps 4) (pow x 6)))) (+ (/ (* eps (- (* 16 (/ (+ (* -1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))) (* -1/32 (pow eps 5))) (pow eps 3))) (+ (* -32 (/ (+ (* 1/64 (pow eps 6)) (* 1/2 (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))))) (pow eps 4))) (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps)))))) (pow x 6)) (/ (* eps (- (* 16 (/ (+ (* -1/16 (pow eps 4)) (* -1/32 (pow eps 4))) (pow eps 3))) (* -2 eps))) (pow x 4)))))))))))
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x))
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x))
(* 1/16 (/ (pow eps 4) (pow x 4)))
(/ (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (* 1/16 (pow eps 4))) (pow x 4))
(/ (+ (* 1/64 (/ (pow eps 6) (pow x 4))) (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (+ (* 1/16 (pow eps 4)) (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4)))))) (pow x 4))
(/ (+ (* 1/64 (/ (pow eps 6) (pow x 4))) (+ (* 1/16 (/ (pow eps 5) (pow x 2))) (+ (* 1/16 (pow eps 4)) (+ (* 1/4 (/ (* (pow eps 3) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6))) (+ (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 4))) (* 1/2 (/ (* (pow eps 2) (+ (* 1/64 (pow eps 5)) (* 1/2 (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))))))) (pow x 6)))))))) (pow x 4))
(* 1/4 (/ (pow eps 2) (pow x 2)))
(/ (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (* 1/4 (pow eps 2))))) (pow x 2))
(/ (+ (* 1/64 (/ (pow eps 4) (pow x 4))) (+ (* 1/64 (/ (pow eps 5) (pow x 6))) (+ (* 1/16 (/ (pow eps 4) (pow x 4))) (+ (* 1/8 (/ (pow eps 3) (pow x 2))) (+ (* 1/4 (pow eps 2)) (* 1/2 (/ (* eps (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4)))) (pow x 6)))))))) (pow x 2))
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(+ x (* -1/2 (/ eps x)))
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(* eps (- (* eps (+ (* -4 x) (* -2 x))) (* -8 (pow x 3))))
(* eps (- (* eps (- (* -1/8 (/ (pow eps 2) (pow x 3))) (* -1 (+ (* -4 x) (* -2 x))))) (* -8 (pow x 3))))
(* eps (- (* eps (- (* (pow eps 2) (- (* -3/32 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* -1 (+ (* -4 x) (* -2 x))))) (* -8 (pow x 3))))
(+ (* 8 (pow x 5)) (* eps (* (pow x 2) (+ (* -4 x) (* -2 x)))))
(+ (* 8 (pow x 5)) (* eps (+ (* -1/8 (/ (pow eps 2) x)) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* (pow eps 2) (- (* -3/32 (/ eps (pow x 3))) (* 1/8 (/ 1 x)))) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (* (pow x 2) (+ (* -4 x) (* -2 x))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (+ (* -1 (* eps (+ (* -4 x) (* -2 x)))) (* (pow x 2) (+ (* -4 x) (* -2 x)))))))
(+ (* 8 (pow x 5)) (* eps (+ (* -8 (pow x 3)) (+ (* eps (+ (* -1 (+ (* -4 x) (* -2 x))) (* -1/8 (/ eps x)))) (* (pow x 2) (+ (* -4 x) (* -2 x)))))))
(* eps (+ (* eps (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5)))))) (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))
(* eps (+ (* eps (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (+ (* 1/2 (/ 1 (pow x 3))) (* eps (- (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))) (+ (* 9/128 (/ 1 (pow x 7))) (* 1/8 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))))))) (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5))))))))) (* 1/2 (/ 1 x))))
(+ (* -1 eps) (pow x 2))
(+ (* -1/2 (/ eps x)) (* 2 x))
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))))
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+ (* -16 (* eps (pow x 2))) (* 16 (pow x 4)))
(+ (* 16 (pow x 4)) (* eps (+ (* -16 (pow x 2)) (* 2 eps))))
(+ (* 16 (pow x 4)) (* eps (+ (* -16 (pow x 2)) (* eps (+ 2 (* -1/16 (/ (pow eps 2) (pow x 4))))))))
(+ (* -2 eps) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (- (* -1/4 (/ eps (pow x 2))) 2)))
(+ (* 4 (pow x 2)) (* eps (- (* eps (- (* -1/8 (/ eps (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2)))))
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
(* eps (+ 1 (/ (pow x 2) eps)))
(* (pow eps 4) (- (+ (* 2 (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3)))))
(* (pow eps 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)))))
(* (pow eps 4) (- (* 4 (/ (pow x 3) (pow eps 3))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps))))))
(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))
(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps))))
(* (pow eps 3) (+ (* 4 (/ (pow x 5) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))))
(* (pow eps 4) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))))))
(* (pow eps 4) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (+ (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) (pow eps 2)))))))
(* (pow eps 4) (+ (* -4 (/ (pow x 3) (pow eps 3))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (+ (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 3)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) (pow eps 2)))))))))
(- (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))) (* 4 (/ x (pow (sqrt -1) 2))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* 4 (/ x (pow (sqrt -1) 2))) (* 8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))))))
(- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 2 (/ x (pow (sqrt -1) 2))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 4 (/ (pow x 3) (* eps (pow (sqrt -1) 4)))) (+ (* (sqrt eps) (/ 1 (sqrt -1))) (/ x (pow (sqrt -1) 2))))))) (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* x (- (+ (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 4 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (+ (* 4 (* (sqrt eps) (/ (* x (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 8 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))))) (sqrt -1)))) (+ (* 4 (/ x (pow (sqrt -1) 2))) (+ (* 8 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 8 (/ (* (pow x 2) (- (+ (* 2 (/ (* eps x) (pow (sqrt -1) 2))) (/ (* eps x) (pow (sqrt -1) 2))) (* 4 (/ (* eps x) (pow (sqrt -1) 2))))) (* (pow eps 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1))))) (pow (sqrt -1) 5)))))))))
(* eps (- (/ (pow x 2) eps) 1))
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
(* (pow eps 4) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (/ (pow (sqrt -1) 4) (pow eps 2))))
(* (pow eps 4) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (+ (* 8 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow eps 3))) (/ (pow (sqrt -1) 4) (pow eps 2)))))
(* (pow eps 4) (+ (* 2 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 3) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (* x (pow (sqrt -1) 3)))) (+ (* 8 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 3) (sqrt -1)))) (+ (* 8 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow eps 3))) (/ (pow (sqrt -1) 4) (pow eps 2)))))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ (pow (sqrt -1) 2) eps)))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ (pow (sqrt -1) 2) eps))))
(* (pow eps 2) (+ (* 2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 3) (sqrt -1))) (/ (pow (sqrt -1) 2) eps)))))
(+ x (* -1 (* (sqrt eps) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* eps x)) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))))) (* 1/2 (* eps (pow x 3)))) (+ (* -1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps)) (* eps x)) eps)))
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x)))))
(* -1 (* eps (- (* -1 (/ (pow x 2) eps)) 1)))
(* -1 (* (sqrt (pow eps 5)) (sqrt -1)))
(* (pow eps 4) (- (+ (* -2 (/ x (pow eps 2))) (* -1 (/ x (pow eps 2)))) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (- (* -1 (/ (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow x 3) eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) eps)) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow x 5) eps)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))))
(* (sqrt (pow eps 5)) (sqrt -1))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -2 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow x 3)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) eps)) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* (pow x 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))))) eps)) (* (sqrt (/ 1 (pow eps 3))) (sqrt -1))))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* -1 (/ (- (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))))))))) eps))) (* 4 (* eps x))) eps)))
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* -1 (/ (- (+ (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (* -1 (/ (- (* -4 (* (pow eps 2) (pow x 3))) (+ (* -8 (* eps (* (pow x 2) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x)))))) (+ (* -1 (* (sqrt (pow eps 5)) (* (sqrt -1) (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))))))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x)))))))))))))))) eps))) (+ (* -8 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt eps) (* x (* (sqrt -1) (- (* -1 (* (pow eps 2) (+ (* -2 (/ x eps)) (* -1 (/ x eps))))) (* 4 (* eps x))))))))) eps))) (* 4 (* eps x))) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))))
(pow eps 2)
(* (pow eps 4) (+ (* -4 (* (sqrt (/ 1 (pow eps 5))) (* x (sqrt -1)))) (/ 1 (pow eps 2))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 4 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (* 8 (/ (pow x 2) (pow eps 2)))) eps)) (/ 1 (pow eps 2))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow x 2) eps)) (* -1 (/ (+ (* 2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 8 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1))))) eps))) eps)) (* 4 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1))))) eps)) (/ 1 (pow eps 2))))
(* (pow eps 2) (- (* -2 (* (sqrt (/ 1 (pow eps 3))) (* x (sqrt -1)))) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -2 (/ (pow x 2) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
Outputs
0
#s(literal 0 binary64)
eps
(* (sqrt eps) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64)))
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(pow x 2)
(*.f64 x x)
(* -1 (* (sqrt eps) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(- x (* (sqrt eps) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) x)
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))
(* 1/2 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* (sqrt eps) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(* -1/2 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))
(/ (+ (* -1/2 eps) (pow x 2)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x x)) x)
(/ eps x)
(/.f64 eps x)
(+ eps (pow x 2))
(fma.f64 x x eps)
(* (sqrt (pow eps 5)) (pow (sqrt -1) 3))
(*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(- (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(fma.f64 (*.f64 eps x) (*.f64 #s(literal 3 binary64) (neg.f64 eps)) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))
(- (* x (- (* eps (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(fma.f64 (fma.f64 (*.f64 eps x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 9/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 eps)) eps)) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))
(- (* x (- (* x (- (* 4 (* eps x)) (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) x (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 9/2 binary64)) eps)) x (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 eps)) eps)) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))
(* (sqrt (pow eps 3)) (* (pow x 2) (pow (sqrt -1) 3)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 eps)) x)) (*.f64 x x))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 eps) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 9/2 binary64)) x)) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (+ (* eps (pow (sqrt -1) 2)) (* x (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (+ (* 4 x) (* 4 (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x))) x)) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x))
(* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3)))
(neg.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))
(+ (* -1 (* eps (* x (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2)))))) (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))))
(neg.f64 (fma.f64 (*.f64 eps x) (*.f64 #s(literal 3 binary64) (neg.f64 eps)) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3)))))))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 eps) (*.f64 #s(literal 3 binary64) (neg.f64 eps)) (*.f64 (fma.f64 (neg.f64 eps) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 9/2 binary64)) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) x)) x))
(+ (* -1 (* (sqrt (pow eps 5)) (pow (sqrt -1) 3))) (* x (+ (* -1 (* eps (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* x (+ (* -1 (* eps (+ (* 1/2 (* (sqrt eps) (sqrt -1))) (* 4 (* (sqrt eps) (sqrt -1)))))) (+ (* x (+ (* -4 eps) (+ (* 2 (* eps (pow (sqrt -1) 2))) (* eps (pow (sqrt -1) 2))))) (* (sqrt (pow eps 3)) (pow (sqrt -1) 3))))))))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 eps) (*.f64 #s(literal 3 binary64) (neg.f64 eps)) (*.f64 (fma.f64 (neg.f64 eps) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 eps) (*.f64 #s(literal -4 binary64) eps)) x (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) x)) x))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+ (* x (- (* x (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* x (- (* 12 (/ 1 (* eps (pow (sqrt -1) 4)))) (+ (* 4 (* (sqrt (/ 1 eps)) (/ (- (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1)))) (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (* (sqrt eps) (sqrt -1))) (* 8 (* (sqrt eps) (sqrt -1)))) (pow (sqrt -1) 5)))))))) (+ (* -4 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 8 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 9/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 12 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) x #s(literal 1 binary64)) x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(* -1 eps)
(neg.f64 eps)
(- (pow x 2) eps)
(fma.f64 x x (neg.f64 eps))
(+ x (* (sqrt eps) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x)
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
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(* eps (+ (* eps (+ (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5)))))) (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))
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(* eps (+ (* eps (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (+ (* 1/2 (/ 1 (pow x 3))) (* eps (- (* -1 (* eps (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))) (+ (* 9/128 (/ 1 (pow x 7))) (* 1/8 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 4))))))) (+ (* -1 (/ (+ (* 1/16 (/ (+ (* -4 x) (* -2 x)) (pow x 4))) (* 1/2 (/ 1 (pow x 3)))) (pow x 2))) (* 1/16 (/ 1 (pow x 5))))))))) (* 1/2 (/ 1 x))))
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(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1))))
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(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))
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(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))
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(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))
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(* eps (- (/ x eps) (* 1/2 (/ 1 x))))
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(* eps (+ 1 (/ (pow x 2) eps)))
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(* (pow eps 4) (- (+ (* 2 (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (/ (* x (pow (sqrt -1) 2)) (pow eps 2))) (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3)))))
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(* (pow eps 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)))))
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(* (pow eps 4) (- (* 4 (/ (pow x 3) (pow eps 3))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) (pow eps 2))) (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps))))))
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(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))
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(* (pow eps 3) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps))))
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(* (pow eps 3) (+ (* 4 (/ (pow x 5) (pow eps 3))) (+ (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))))) (pow eps 2)) (/ (* (pow x 2) (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps))) eps)))))
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(* (pow eps 4) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* 2 (/ (* x (pow (sqrt -1) 2)) eps)) (/ (* x (pow (sqrt -1) 2)) eps)) eps)) (* (sqrt (/ 1 (pow eps 5))) (* (pow x 2) (pow (sqrt -1) 3))))))
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(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))
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(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))))
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(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -2 binary64)))) eps) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps))
(* (pow eps 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* 2 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) eps)) (/ 1 eps)))
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) eps))) eps) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps))

rewrite215.0ms (2.1%)

Memory
-10.2MiB live, 300.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035321
060245
1253193
21961193
08196193
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 472
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 x x)
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)
(/.f64 eps x)
(-.f64 (fma.f64 x x eps) (*.f64 x x))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 x x eps)
(-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
(-.f64 (*.f64 x x) eps)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))
Outputs
#s(literal 0 binary64)
(*.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (-.f64 eps #s(literal 0 binary64))))
(*.f64 (/.f64 eps eps) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 eps (-.f64 eps #s(literal 0 binary64))))
(*.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps) (pow.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 eps (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 eps (*.f64 x x)))))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))) (neg.f64 (neg.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 eps)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (-.f64 eps (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)))))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 eps (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) (neg.f64 (-.f64 eps #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)) (neg.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps) (-.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 x x eps) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 x x) eps) (fma.f64 eps (-.f64 eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (fma.f64 x x eps) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)))) (/.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) eps)) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x x) eps) (pow.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (-.f64 eps #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 eps eps) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 eps (-.f64 eps #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 eps (*.f64 x x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (fma.f64 x x eps) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (/.f64 (-.f64 (*.f64 x x) eps) (pow.f64 (fma.f64 x x eps) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (fma.f64 x x eps))
(fma.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps) (pow.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x (fma.f64 x x eps))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal 0 binary64))
(fma.f64 x (neg.f64 x) (fma.f64 x x eps))
(fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (-.f64 eps (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x eps) #s(literal 2 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (-.f64 eps (*.f64 x x)))) (/.f64 (pow.f64 (-.f64 eps (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (-.f64 eps (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))))))
(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 eps #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 eps #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 eps #s(literal 0 binary64))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64))))) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x))) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) x))) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x))) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) x))) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))
(/.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))
(exp.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))

eval356.0ms (3.5%)

Memory
56.6MiB live, 506.2MiB allocated
Compiler

Compiled 147 781 to 8 568 computations (94.2% saved)

prune56.0ms (0.5%)

Memory
-25.0MiB live, 136.0MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New2 40952 414
Fresh213
Picked325
Done235
Total2 416112 427
Accuracy
100.0%
Counts
2 427 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (/.f64 eps (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
99.5%
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
60.2%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
54.2%
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
7.8%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
3.5%
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
53.9%
(*.f64 (/.f64 (*.f64 eps eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))))
46.5%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
46.0%
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
46.3%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
44.8%
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
Compiler

Compiled 1 442 to 374 computations (74.1% saved)

regimes37.0ms (0.4%)

Memory
10.0MiB live, 47.4MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (/ (+ (* (* eps -1/8) x) (* (pow (neg x) 3) 1/2)) (* (pow (neg x) 3) x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))
(-.f64 x (/.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (fma.f64 x x (neg.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) eps))
(*.f64 (/.f64 (*.f64 eps eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) x) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (neg.f64 (neg.f64 x)))) eps))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 eps (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (/.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (/.f64 eps (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 #s(approx (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) (/.f64 (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (*.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -1/8 binary64)) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)) eps))
#s(approx (- x (sqrt (- (* x x) eps))) #s(approx (* (+ (* (+ (* (/ eps (pow x 5)) 1/16) (/ 1/8 (pow x 3))) eps) (/ 1/2 x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (fma.f64 x x (-.f64 (*.f64 x x) eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (fma.f64 x x (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 4 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) eps) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))) eps) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 1/8 binary64)) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
Outputs
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
Calls

3 calls:

12.0ms
x
11.0ms
eps
11.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes9.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
eps
3.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
86.6%2x
82.5%2eps
97.7%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
Outputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
94.4%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
Outputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))
Calls

1 calls:

2.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
94.3%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-31.7MiB live, 8.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
Outputs
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
Calls

3 calls:

4.0ms
x
1.0ms
eps
1.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
54.2%1eps
54.2%1x
54.2%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
Outputs
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
Results
AccuracySegmentsBranch
3.5%1x
3.5%1eps
3.5%1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.567518593011957e-154
0.0
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.567518593011957e-154
0.0
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.567518593011957e-154
0.0
Compiler

Compiled 11 to 11 computations (0% saved)

simplify71.0ms (0.7%)

Memory
1.7MiB live, 39.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031137
149137
268137
391137
4122137
5184137
6290137
71083137
83826137
97331137
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))
Outputs
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)))

soundness966.0ms (9.4%)

Memory
11.9MiB live, 530.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038333
067322
1271282
22425258
09701255
013418046
145297705
089747310
02571067
17841053
226291015
370851012
08084948
038251
066245
1248245
21987239
09882239
035321
060245
1253193
21961193
08196193
0622
01022
14222
231022
3360222
0854022
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 281 to 112 computations (60.1% saved)

preprocess103.0ms (1%)

Memory
-24.2MiB live, 62.4MiB allocated
Compiler

Compiled 310 to 88 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...